# A Survey of Mathematics with Applications (10th Edition)

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Set ; A set is a group of well-defined and ... more

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Ellipsis ; The three dots, also known as ellipsis... more

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Description; Roster form; Set-builder notation ; ... more

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Finite ; A finite set either has no elements or ... more

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Infinite ; A set is said to be an infinite set if ... more

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Equal ; Two sets having exactly same elements are ... more

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Equivalent ; Two sets and are equivalent if they... more

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Cardinal ; The number of elements or members in a ... more

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Empty ; If the cardinal number of a set is 0, then... more

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; ; If the cardinal number of a set is 0, then the... more

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A group of best musicians is a relative term and ... more

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A collection of most interesting movies in a ... more

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There is no person who became the U.S. president ... more

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There are some specific people who won Academy ... more

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There are 12 specific astronauts who walked on the... more

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A group of the most interesting teachers at a ... more

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There occur three dots, or ellipsis, after element... more

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The multiples of 3 between 0 and 40 are 3, 6, 9, ... more

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The odd numbers greater than 25 are 27, 29, 31, 33... more

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The fractions between 1 and 2 are, , , , and so on... more

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The odd numbers greater than 15 are 17, 19, 21, 23... more

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The GM Farms producea fixed number of apple trees.... more

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; The only state inthe country U. S. whose ... more

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; The months whose names have “J” as the initial ... more

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; The natural numbers between 10 and 178 are 11... more

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; The given set contains all those elements that... more

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; The given set contains all the numbers that are... more

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; There is no state in the U.S. that shares a ... more

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; There is no football player over the age of 70 ... more

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; The two states I and O in the U.S.share the ... more

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; The given set contains natural numbers such ... more

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; A and H are the two states that are not in the ... more

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; According to the given table, the cities Ban, L... more

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; According to the given table, the cities H, K, ... more

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; According to the given table, none of the ... more

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; According to the given table, city P is the ... more

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; According to the details provided in the graph... more

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; According to the details given in the graph, in... more

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; According to the details given in the graph, ... more

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; According to the details given in the graph, ... more

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; The elements of the given set are natural ... more

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; The elements of the given set are natural ... more

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; The elements of the given set are natural ... more

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; The elements of the given set are natural ... more

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; Odd natural numbers are not divisible by 2.The ... more

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; The U.S. has only one national holiday, that is... more

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; February is the only month which has less than ... more

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; The elements of the given set are natural ... more

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Set of natural numbers less than or equal to 7 ; ... more

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Set of natural numbers that are multiples of 3 ; ... more

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Set of vowels in the English alphabets ; The ... more

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The given set is the set of the seven dwarfs from ... more

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Set of species of trees ; The elements in the ... more

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Set of natural numbers greater than or equal to 4 ... more

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Set of names of seasons ; The elements of the ... more

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The given set is a set of members of band B. ; The... more

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; According to data given in the table, the ... more

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; According to the data given in the table, the ... more

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; According to the data given in the table, the ... more

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; According to the data given in the table, ... more

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; From the graph, it can be observed that in the ... more

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; According to the data given in the graph, 2005 ... more

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; According to the data given in the graph, the ... more

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; According to the data given in the graph, the ... more

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False is a set not an element. ; is a set and not... more

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As belongs to the given set, is an element of ... more

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False does not belong to the given set. ; The ... more

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MM is one of WD’s characters, which means that M.M... more

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False3 is an odd number and belongs to the given ... more

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FalseRiver A is in the South American continent... more

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The elements of the given set are odd natural ... more

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False, because 2 is an even number. ; The elements... more

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4 ; The given set has four elements that are 2, 4... more

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6 ; The given set has six elements that are 1, 3... more

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0 ; The given set contains no elements.The number... more

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5 ; The given set has five elements that are... more

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Both ; The elements of both the sets and are ... more

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Equivalent ; The elements of set are not exactly ... more

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Neither ; The elements of set are not exactly ... more

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Neither ; As all the cats cannot be Siamese, the ... more

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Equivalent ; The word “bank” consists of 4 letters... more

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Equivalent ; Since every state and its capital is ... more

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The number 7 in the given statement offers ... more

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The number 25 in the given statement offers ... more

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The number 16 in the given statement offers ... more

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The number 35 in the given statement offers ... more

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Set of people living on landSet of living beings ... more

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Set of people taller than 4 metersSet of dogs who ... more

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A universal set includes a collection of all the ... more

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Set theory is a significant and very fundamental ... more

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subset ; Let and be the two sets, which are ... more

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proper ; Let and be two sets which are given as... more

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; The empty set has only one subset, that is, ... more

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; Let be a non-empty set having distinct ... more

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A set is said to be the subset of a set if all ... more

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Set is said to be the subset of if all the ... more

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False; The element “potato” does not belong to the... more

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False; “magazine” does not belong to {book, ... more

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Let and .The elements of set are also the ... more

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Let and .The elements of set are also the ... more

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False; Both the given sets are equal. ; Since the ... more

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False; Both the given sets are equal. ; Since the ... more

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The symbol “” is used to replace the words “is an ... more

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The symbol “” is used to replace the words “is an ... more

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False; {quarter} is a subset of given set, not an ... more

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False, as is a subset of the given set. ; The ... more

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The symbol “” is used to replace the words “is not... more

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For any two sets and , if every element of set ... more

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The elements of set {chair} are also the elements ... more

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The elements of the set are also the elements of ... more

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False; The set contains an element whereas is ... more

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The notations or are used to represent an empty ... more

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False; The set contains an element 0. ; As is an... more

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A set is a subset of if every element of is an ... more

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False; “0” is a number not a set. ; As is an ... more

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The elements of the set are , , and although ... more

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; ; Since every element of set is also an element... more

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; ; ; The elements of set are the natural numbers... more

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; ; Set is the collection of books of any genre ... more

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None ; Since the elements of set are not same as ... more

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; ; Set contains all brands of soft drinks while ... more

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; ; The elements of set are all those sports in ... more

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; The natural numbers between 2 and 7 are 3, 4, 5... more

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; ; A sports car manufactured by GM is a car ... more

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; Since the given set is an empty set, contains... more

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; ; The number of elements, that is, is 1. So, ... more

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; The number of elements, that is, is 2. So, the ... more

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; The number of elements, that is, , is 3. So, ... more

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Let the two sets be and .Since all the elements ... more

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Let and be two sets such that set is a proper ... more

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Let be a set given by .All the elements of set ... more

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Let . It can be observed that .Assume is a proper... more

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Since is an empty set, it does not contain any ... more

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Set is given as a non-empty set, and is the ... more

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Set is a proper subset of set if is a subset of... more

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Assume is a proper subset of itself. By the ... more

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Since is an empty set, it does not contain any ... more

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As the universal set is never empty, it would ... more

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Since every set is a subset of itself, is a ... more

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As the universal set is never empty, it would ... more

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512 ; Let be a set of all the given items that ... more

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128 ; Let be a set of the all given options that... more

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128 ; Let be a set of all the given items that ... more

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64 ; Let be a set of all the given features that ... more

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; The notation “” denotes the fact that set is ... more

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By defining a one-to-one correspondence between ... more

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1 ; Let be a set having elements and satisfying ... more

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Yes ; As , every element of set is an element of ... more

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Yes ; As , every element of set is an element of ... more

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No ; Let , , and be the three sets given as , , ... more

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The father of taxonomy, Carolus Linnaeus,was a ... more

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complement ; The complement of a given set ... more

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union ; The union of the two given sets is the set... more

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intersection ; The intersection of the two given ... more

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difference ; The difference of the two given sets... more

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Cartesian ; The cartesian product of two sets and... more

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disjoint ; When the intersection of the two given ... more

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; It is given that the number of elements in set... more

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four ; Construct a Venn diagram for the two sets ... more

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; By the definition of disjoint sets, if the sets... more

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; As set is the proper subset of set, set ... more

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; As set is the proper subset of set, all the ... more

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; Set and set are equal sets, so the elements ... more

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; Set and set are overlapping sets which means ... more

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; Set and set do not contain any common element... more

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; The common elements in set and set are 6 and ... more

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; The common elements in set and set are, , and... more

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; The given two sets and contain some common ... more

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; The given two sets and contain some common ... more

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; The elements of set are 2010, 2011, 2012, and ... more

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; DE, JG, CB, JL, GB, JJ, MK, KH, KuB, and KB are... more

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The set of retail stores in US that do not sell ... more

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The set of animals in US that are outside the S D ... more

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The set of cities in US that do not have a ... more

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The set of cities in US that do not have a ... more

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The set of cities in US that have a professional ... more

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The set of cities in US that have a professional ... more

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The set of cities in the US that has a ... more

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The set of cities in the US that either has a ... more

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The set of furniture stores in US that sell ... more

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The set of furniture stores in US that sell ... more

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The set of all those stores of object F in the US ... more

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The set of all those stores of object F in the US ... more

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The set of all those stores of object F in the US ... more

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The set of all those stores of object F in the US ... more

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; From the given Venn diagram, the set contains ... more

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; From the given Venn diagram, set contains the ... more

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; From the given Venn diagram, set contains the ... more

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; The universal set, , contains all the elements ... more

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; The union of two sets, , contains the elements ... more

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; Set contains the elements that are in set but... more

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; Set contains the elements that lie outside the... more

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; Set contains the elements that are in ... more

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; Set contains the elements that are members of ... more

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; Set contains the elements that lie inside the ... more

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; Refer to the given Venn diagram.Set contains ... more

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; Refer to the given Venn diagram.Set contains ... more

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; Refer to the given Venn diagram.The universal ... more

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; Refer to the given Venn diagram.Set contains ... more

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; Refer to the given Venn diagram.Set contains ... more

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; Refer to the given Venn diagram.Set contains ... more

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; Refer to the given Venn diagram.Set contains ... more

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; The set contains the entire region enclosed by... more

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; The set contains the elements that lie inside ... more

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; The set contains the elements that lie inside ... more

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; The union of set with set, symbolized by, ... more

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; The intersection of set and set , symbolized ... more

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; In order to obtain the given set, find the ... more

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; In order to obtain the given set, find the ... more

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; In order to obtain the given set, find the ... more

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; In order to obtain the given set, find the ... more

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; In order to obtain the given set, find the ... more

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; In order to obtain the given set, find the ... more

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; In order to obtain the given set, find the ... more

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; In order to obtain the given set, find the ... more

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; The union of set with set , symbolized by, ... more

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; The intersection of set and set , symbolized ... more

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; In order to obtain the given set, find the ... more

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; In order to obtain the given set, find the ... more

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; To obtain the given set, find the elements of ... more

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; To obtain the given set, find the elements of ... more

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; To obtain the given set, find the elements of ... more

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; To obtain the given set, find the elements of ... more

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; To obtain the given set, find the elements of ... more

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; To obtain the given set, find the elements of ... more

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; Choose the first element of set and form an ... more

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; Choose the first element of set and form an ... more

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No ; Choose the first element of set and form an ... more

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6 ; The number of elements in set is 3 and the ... more

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6 ; The number of elements in set is 3 and the ... more

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Yes ; The number of elements in set , that is, is... more

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; Set contains the odd numbers that are less ... more

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; Set contains the odd numbers that are less ... more

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; The universal set contains the natural numbers... more

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; The universal set contains the natural numbers... more

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; The universal set contains the natural numbers... more

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; The universal set contains the natural numbers... more

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; The universal set contains the natural numbers... more

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; The universal set contains the natural numbers... more

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; The universal set contains the natural numbers... more

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; The universal set contains the natural numbers... more

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A set and its complement will always be disjoint ... more

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When set and set are disjoint sets.For instance... more

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49 ; Let set represent the customers who own dogs... more

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20 ; Let and be the sets of students who ... more

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defines Region I; defines Region II; defines ... more

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; The set contains all the natural numbers, ... more

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; The set contains all the natural numbers, ... more

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; The set contains all the natural numbers that ... more

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; The set contains all the natural numbers that ... more

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; The set contains all the natural numbers, ... more

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; In order to obtain the given set, find the ... more

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; In order to obtain the given set, find the ... more

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; In order to obtain the given set, find the ... more

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; By definition of the complement of a set, ... more

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; By definition of the complement of a set, ... more

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; By definition, the set contains all those ... more

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; By definition, the set contains all those ... more

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; Let and Find that contains the elements that ... more

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; Let and.Take the intersection of set and ... more

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; The given equation implies that the ... more

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; The given equation implies that the union of ... more

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and are disjoint sets. ; The given equation ... more

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Both and are empty sets. ; The given equation ... more

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8 ; Take a Venn diagram constructed with 3 ... more

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Deductive ; A set statement can be understood ... more

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; Take a Venn diagram constructed with 3 ... more

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; Take a Venn diagram constructed with 3 ... more

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; Assume a general Venn diagram constructed with ... more

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; Assume a general Venn diagram constructed with ... more

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; Assume a general Venn diagram constructed with ... more

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; Assume a general Venn diagram constructed with ... more

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; Assume a general Venn diagram constructed with ... more

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; Assume a general Venn diagram constructed with ... more

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; Assume a general Venn diagram constructed with ... more

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Country Ca does not belong to the Veggie set. It ... more

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The figure is in Color B. It measures more than ... more

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; Label the regions in the given Venn diagram. ... more

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; Label the regions in the given Venn diagram. ... more

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; Label the regions in the given Venn diagram.Set... more

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; Label the regions in the given Venn diagram. is... more

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; Label the regions in the given Venn diagram. ... more

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; Label the regions in the given Venn diagram. ... more

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; Label the regions in the given Venn diagram. ... more

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; Label the regions in the given Venn diagram. ... more

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; Label the regions in the given Venn diagram. ... more

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; Label the regions in the given Venn diagram. ... more

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; Label the regions in the given Venn diagram.Set... more

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; Label the regions in the given Venn diagram. ... more

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Assume two sets and and a universal set .Draw ... more

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Assume 2 sets and and a universal set .Draw a ... more

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Assume two sets and and a universal set .Draw ... more

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Assume 2 sets and and a universal set .Draw a ... more

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Assume two sets and and a universal set .Draw ... more

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Assume two sets and and a universal set .Draw ... more

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Draw a Venn diagram for three sets, that are... more

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Draw a Venn diagram for three sets, that are... more

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Draw a Venn diagram for the three sets, that is... more

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Draw a Venn diagram for the three sets, that is... more

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Draw a Venn diagram for the three sets, that is... more

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Draw a Venn diagram for the three sets, that is... more

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Draw a Venn diagram for the three sets, that is... more

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Draw a Venn diagram for the three overlapping sets... more

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; The shaded region lies outside the two sets or... more

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; The shaded region lies outside the two sets ... more

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; The given Venn diagram represents that among ... more

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; From the given Venn diagram, the shaded region ... more

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; Let three sets , , and represent the blood ... more

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RegionSetRegionSetIVIIVIIIIVIIIVVIII ; Refer to ... more

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; Let the three sets be , , and .Draw a Venn ... more

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Colors like Yellow, Magenta, and Blue can be made ... more

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Incorrect; The total number of people who surveyed... more

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The report contained an error because the number ... more

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; Let be the universal set consisting of all ... more

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infinite ; According to the definition of an ... more

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countable ; A countable set is a set that is ... more

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If a set can be placed in a one-to-one ... more

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If a set can be placed in a one-to-one ... more

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If a set can be placed in a one-to-one ... more

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Entire Proof Answer: If a set can be placed in a ... more

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Entire Proof Answer: If a set can be placed in a ... more

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Entire Proof Answer: If a set can be placed in a ... more

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Entire Proof Answer: If a set that can be placed ... more

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Entire Proof Answer: If a set can be placed in a ... more

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Entire Proof Answer: If a set can be placed in a ... more

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Entire Proof Answer: If a set can be placed in a ... more

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Entire Proof Answer: A set that can be placed in ... more

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Entire Proof Answer: A set that can be placed in ... more

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Entire Proof Answer: A set that can be placed in ... more

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Entire Proof Answer: A set that can be placed in ... more

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Entire Proof Answer: A set that can be placed in a... more

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Entire Proof Answer: A set that can be placed in a... more

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Entire Proof Answer: A set that can be placed in a... more

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Entire Proof Answer: A set that can be placed in ... more

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Entire Proof Answer: A set that can be placed in a... more

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Entire Proof Answer:A set that can be placed in a ... more

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Entire Proof Answer:A set that can be placed in a ... more

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Entire Proof Answer:A set that can be placed in a ... more

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Entire Proof Answer:A set that can be placed in a ... more

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Entire Proof Answer:A set that can be placed in a ... more

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= ; An infinite set can be placed in a one-to-one ... more

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= ; An infinite set can be placed in a one-to-one ... more

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= ; An infinite set can be placed in a one-to-one ... more

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= ; An infinite set can be placed in a one-to-one ... more

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= ; A set that is infinite and can be placed in a ... more

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A rational number isof the form , where and are ... more

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The total number of elements in a set is called ... more

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A set is well-defined when there is no ambiguity ... more

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False, as the set of three sports BB player can ... more

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The sign "" reads as "is element of".For instance... more

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False, because "" and are equal sets and also, ... more

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False, as both the set have 6, 12, 18, as common ... more

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The roster form is the listing of elements of sets... more

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False, as the elements are not same in both the ... more

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Two sets are said to be equivalent when the ... more

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Cardinal number symbolizes as of any set , which ... more

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A countable set is defined as a set with same ... more

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A finite set is a set that has finite number of ... more

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Set is a subset of, symbolizes as “”, if and only ... more

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Set builder notation is used to symbolize a set.As... more

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Set is a subset of , symbolizes as “”, if and ... more

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; The roster form of a set is the listing of all ... more

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; The roster form of a set is the listing of all ... more

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; The roster form of a set is the listing of all ... more

**Verified Answer ✓**

; The roster form of a set is the listing of all ... more

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; Set builder notation is used to symbolize a set... more

**Verified Answer ✓**

; Set builder notation is used to symbolize a set... more

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; Set builder notation is used to symbolize a set... more

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; Set builder notation is used to symbolize a set... more

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Set is the set of capital letters in English ... more

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Set is a set of U.S. coins of values less than a ... more

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Set is the set of the first three lowercase ... more

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Set is the set of numbers greater than or equal ... more

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; Intersection of two sets is the set of all the ... more

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; Complement of a set, , is the set of all the ... more

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; Complement of a set, , is the set of all the ... more

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; Union of two sets, and , is the set of all the... more

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; The set contains only those elements that are ... more

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; The compliment of the given set is the set of ... more

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; The Cartesian product of the given sets and ... more

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; The Cartesian product of the given sets and ... more

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16 ; Set has 4 elements.Apply the definition of ... more

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15 ; Set contains 4 elements.Apply the definition... more

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; To construct a Venn diagram for the given sets... more

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; Set contains all the12 elements which are ... more

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; The set contains all the elements which are ... more

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; The set contains all the elements which are ... more

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; The set contains all the elements that are ... more

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; The set contains all the elements that belong ... more

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; The set is a complement of set , which ... more

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True ; Assume two sets,, and a universal set .Plot... more

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True ; Assume threesets,, , and a universal set .... more

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From the given table, Juice O contains 24 g of ... more

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; Let be the universal set, consisting of all ... more

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Let the given set be G and make a proper subset of... more

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Entire Proof Answer:Let the given set be G and ... more

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Entire Proof Answer:Let the given set be A and ... more

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Entire Proof Answer:Let the given set be A and ... more

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Cardinal number of any set is denoted by , where ... more

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False, because the elements in the two sets are ... more

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There are three elements in the first set, while ... more

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False, because the element in the first set is ... more

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False, because the given set has 16 subsets. ; ... more

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Two sets are said to be disjoint sets when they do... more

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False, because the union of a set with its ... more

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Let be a universal set, and be any set.Apply the... more

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; Natural numbers are all positive integers, ... more

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Natural numbers that are less than 12 will be the ... more

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; The intersection of two sets is the set of all ... more

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; The set of complement of the set contains the ... more

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; The set of complement of the set contains the ... more

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; The set of complement of the set contains the ... more

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; The set of difference of two sets contains the ... more

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; The Cartesian product gives all the possible ... more

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; Compute the elements in region V. Region V ... more

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YesAssume three sets, , , and a universal set .... more

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Entire Proof Answer:Let the given set be G and ... more