Find the complement of the set.{x∣x is a whole number less than 6} if U is the set of all whole numbers

Q: If a set A has 63 proper subsets, what is |Al? 6. 7 8. 9

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Q: 2. Find sets A, B, C, D such that the sets (AN B)U (C\ D), ((An B) U C) \ D, An(BUC) \ D, An(BU(C\…

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Q: 2. Find sets A, B, C, D such that the sets (An B) U (C\ D), ((An B)U C) \ D, An(BU C) \ D, An(BU (C\…

A: Example of such set A,B,C,D are given below

Q: Let the Universal Set, S, have 92 elements. A and B are subsets of S. Set A contains 12 elements and…

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Q: Express the following set in set-builder notation. B= {14, 15, 16, 17, 18, 19, 20, 21} Choose the…

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Q: Find the complement of the set given that  U = {x | x  I and −3 ≤ x ≤ 10}.  (Enter your answers as a…

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Q: Is (R,#) a poset? If it is a poset, is it a total order? (R is the set of all real numbers)

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Q: Here is some more practice on calculating the number of elements in a set. 10. Suppose A and B are…

A: Given ,           AC U          BC U          nA=73         nB=56        nU=150To find → nA' &…

Q: Let the Universal Set, S, have 176 elements. A and B are subsets of S. Set A contains 56 elements…

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Q: If X and Y are two sets such that X ∪ Y has 18 elements, X has 8 elements andY has 15 elements ; how…

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Q: Establish formally, whether the following set is open, closed, or neither closed nor open (justify…

A: We will use the basic knowledge of set theory and point-set topology to answer this question…

Q: If a universal set contains 250 elements,

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Q: Let the following sets A, B, and C be finite sets with|A|= 6, |B| = 8, |C| = 6, |A ∪ B ∪ C| = 11, |A…

A: Let the following sets A, B, and C be finite sets with|A|= 6, |B| = 8, |C| = 6, |A ∪ B ∪ C| = 11, |A…

Q: Let the Universal Set, S, have 146 elements. A and B are subsets of S. Set A contains 84 elements…

A: Provided information is , n(S)=146 n(A)=84 n(B)=25 n(A or B)=n(A U B)=103 Definition of B∩ Ac: It…

Q: A universal​ set, with​ n(U) = 30​, is partitioned into three​ subsets: A,​ B, and C.     If​ n(B) =…

A: we are given n(U) =30​, n(B) =3​⋅n(A), and​ n(C) =2​⋅n(B) also universal set is partitioned into…

Q: Given the folllowing sets (where U represents the Universal set), determine the result of the…

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Q: Let A, B, and C be finite sets, with ACBC C and n(B) = 7. (a) What are the possible values of n(A)?…

A: Given:  A, B, and C are finite sets. A ⊂ B ⊆ C and n(B) = 7. Subset and subset notations: A subset…

Q: Given the Universal Set as numbers from 0 – 10,  Set A - {3, 5, 9 } and Set B - { 0, 3, 5, 6, 9} ,…

A: n(A U B) means number of elements in set (A U B).  or Formula can also be used to get n(A U B): n(A…

Q: Let U be the universal set with disjoint subsets A and​ B, where n(U) = 37​, n(A) = 8​, and n(B) =…

A: first we will find the value of n(A'∩B') we know according to De Morgan's law  A'∩B' =…

Q: If X and Y are two sets such that X has 40 elements, X ∪ Y has 60 elements and X ∩ Y has 10…

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Q: Determine n(U), the number of elements in the universal set, given n(X) = 47 and n(X′) = 156.

A: Note : {X, X'} forms a partition of U. i.e. X & X' are disjoint and their union is the universal…

Q: Let the Universal Set, S, have 135 elements. A and B are subsets of S. Set A contains 93 elements…

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Q: Consider the sets A = {x € Z*, x < 13 | x prime} B = {x e Z*,x < 13 | x even} C = {x € Z*,x < 13 |…

A: We know that the set of positive integers is written as . We have to find the size of the set  .…

Q: find the cardinalty of the following set {3.6.9.12.......414{

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Q: Find the complement of the set given that  U = {x | x  I and −3 ≤ x ≤ 10}.  (Enter your answers as a…

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Q: Let A = {a,b,c,d} be the set containing the four elements a, b, c and d. Let S = {X |X is a subset…

A: Sets

Q: Determine whether or not the following is true: for all sets A, B and C, (AUB) (C\A) = AU (B\C); If…

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Q: Let the Universal Set, S, have 139 elements. A and B are subsets of S. Set A contains 69 elements…

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Q: Find the complement of the set given that  U = {x | x I and −3 ≤ x ≤ 7}. (Enter your answers as a…

A: First we write U in roster form.

Q: Suppose that the universal set U is the set defined as U={1,2,3,4,5,6,7,8,9,10} Write the sets A…

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Q: Find the complement of the set given that U={x xEI and -3<x<9}. (Enter your answers as a…

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Q: Let A and B be two finite sets such that n(A) = 20, n(B) = 28 and n(A ∪ B) = 36, find n(A ∩ B).…

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Q: the set A = {=: (ne Q)^(n > 0)}; 3(0 )v(d au):-

A: given set A=1n:n∈ℚ∧n&gt;0 Determine whether the following set is well-ordered:

Q: Let A, B, and C be three sets. If A⊕C=B⊕C, show that A=B

A: Solution : Given that A,B and C are three sets. And the Direct sum of set A and C is equals to…

Q: Let the Universal Set, S, have 158 elements. A and B are subsets of S. Set A contains 65 elements…

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Q: Let the Universal Set, S, have 100 elements. A and B are subsets of S. Set A contains 42 elements…

A: To find the number of elements in A but not in B we need to subtract the number of common elements…

Q: The set Dom(R)={a_eA: (b; a) e Rfor some b eB}is called the domain of R Ture False O

A: Domain is the input values of any relation and range is the output values of the relation.

Q: Are there sets A and B such that |A|=|B|,|A|=|B|, |A∪B|=10,|A∪B|=10, and |A∩B|=5?|A∩B|=5? Explain.

A: Given:A|=|B|, |A∪B|=10, and |A∩B|=5The Venn diagram is

Q: The sets A and B have 6 and 9 elements respectively, such that A is proper subset B , then the total…

A: Given that set A and set B have 6 and 9 respectively. Now that A is a proper subset of B which means…

Q: Use Venn diagrams to determine whether the following statements are equal for all sets A, B, and C.…

A: The union of two sets contains all the elements contained in either set (or both sets). The…

Q: Find the cardinal number for the set. B= {x | xEN and 6<x<8) n(B)%= !!

A: To find the cardinal number of the given set B .

Q: For an element to be in the union of sets A and B, the element must be in set A in set B. but not…

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Q: Let U be a universal set with subsets A and B such that n(U)=117, n(A)=60, n(B′)=68, n(A∩B)=15,…

A: Given,n(U)=117n(A)=60n(B')=68n(A∩B)=15n(B)=49and n(A∪B)=94

Q: Given a set A of n elements, in how many ways can you find two set P,Q ⊆ A (not necessarily…

A: Given set of  elements we need to find number ways in which A can be written as union of two…

Q: Draw two Venn diagrams to determine whether the following expression is equal for all sets A and B.…

A: We will draw Venn diagram to check if the sets equal

Q: Use an element argument to prove the statement that for all sets A, B, and C, if A ⊆ B then A ∪ B =…

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Q: For the sets A = {x | x &lt;= 9, x is a natural number}, B = {2, 4, 6}, C = {3, 5, 8, 10}:a. Which…

A: Here given set A=x|x≤9, x is a natural number=1, 2, 3, 4, 5, 6, 7, 8, 9 and B = {2, 4, 6}, C = {3,…

Q: Does the set span R3?

A: s=310,0-11,12-1Let v1,v2,v3 in R3 , if span(v1,v2,v3)=R3 then v1,v2,v3 are linearly independent.Rank…

Q: Let the Universal Set, S, have 142 elements. A and B are subsets of S. Set A contains 61 elements…

A: Universal set, S contains 142 elements.Set A contains 61 elementsSet B contains 92 elementsSets A…

Q: Let the Universal Set, S, have 120 elements. A and B are subsets of S. Set A contains 92 elements…

A: Universal set s=120 elementsSet A=92Set =27elemants in  A and B=21

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.