Let the Universal Set, S, have 190 elements. A and B are subsets of S. Set A contains 95 element and Set B contains 78 elements. If Sets A and B have 27 elements in common, how many eleme are in neither A nor B? Answer = elements

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

A: Given that universal Set  S have 146 elements. Set A contains 84 elements. Set B contains 25…

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

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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: Here is a Venn diagram showing the sets B and D, as well as the universal set U. B D- h,P Find the…

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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: a) Does B - A =C – A imply that B = C? Justify b) Next, does A – B = A – C imply B = C? Justify c)…

A: A-B=x∈A and x∉B = A∩Bc

Q: For any sets A and B, which statement is false? OA NA = {} OAUB CANB OAN BC B OA CAUB

A: Remark:  We know that The union of two sets A and B is the set of all those elements which are…

Q: Given the following universal set U={x|x is a letter in "THE FRANCIS MARION UNIVERSITY PATRIOTS"}…

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Q: Let the Universal Set, S, have 89 elements. A and B are subsets of S. Set A contains 37 elements and…

A: Given that :  S have 89 elements A have 37 elements B have 30 elements A and B have 25 elements in…

Q: Here is a Venn diagram showing the sets A, B, and C, as well as the universal set U. (The numbers…

A: Given that Venn diagram showing that the sets A,B and C as well as U.

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: Let the Universal Set, S, have 113 elements. A and B are subsets of S. Set A contains 77 elements…

A: From the provided information, n(U) = 113, n(A) = 77, n(B) = 17 And n (A Ո B) = 13

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: Let the universal set U = {1, 2, 3, 4, 5, 6}, and let A = {1, 2, 4}, B= n each of the following,…

A: Note: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Given the sets A, B and the universal set U, and that A and B are not disjoint, draw a Venn diagram…

A: It is provided that A, B are two sets that are not disjoint and U is the universal set. We need to…

Q: Write the given sets in set builder from  a. {1,2,3,6,9,18} ?!

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Q: Let A be the set of students in your math class, and B is the set of students at Indiana State…

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Q: Here is a Venn diagram showing the sets C and D, as well as the universal set U. FU- gh ,y D- f Find…

A: a). D' = g, h, y, f

Q: Given some set A and the universal set U we would say that A u U would result in which of the…

A: Set: A set is a well defined collection of objects. A universal set is a set which contains elements…

Q: 5. If A, B, C are finite sets and |A| denotes the number of elements in A, show that |A ∪ B ∪ C| =…

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Q: Let the Universal set be the letters a through j: U = {a, b, ..., I, ]}. Let A = {a, d, g, h), B =…

A: Introduction: The set (B ∪ C) contains all the elements that are either in set B, or C, or in both,…

Q: Here is a Venn diagram showing the sets A, B, and C, as well as the universal set U. B. h, p Find…

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Q: Let the Universal Set, S, have 141 elements. A and B are subsets of S. Set A contains 96 elements…

A: Universal set S contains 141 elements. Set A contains 96 elements. Set B contains 57 elements. Total…

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: Use the Venn diagram below to determine if (AnC) n B= (An B)nC and, if it is, what regions does the…

A: The given Venn diagram is: From the Venn diagram, it is clear that, The elements in set A are as…

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 A, B, and C be any sets. Mark the statement that is false O A U (BUC) (AUB) UC OACUCC (An C)c OB…

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Q: Anna and John classify their book collection as used or new, hardcover or softcover, and non-fiction…

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Q: Let A, B and C be three sets. If A ∈ B and B ⊂ C, is it true that A ⊂ C?. If not, give an example.

A: No, it is not true. EXAMPLE- Let A= {2}  B= {{2},3,4} C={{2},3,4,5,6} We can see here that,

Q: Let the Universal Set, S, have 127 elements. A and B are subsets of S. Set A contains 94 elements…

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Q: . Write the following set in set builder notation: R [2, 7)

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

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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: Express the following statement into a Set Builder Notation 1. (2, 4, 6, 8, 10} 2) (2, 3, 5, 7, 11}…

A: # we are entitled to solve 3 subparts. please resubmit the other parts if you wish to get it…

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 U be a universal set and A, B,C C U. ITEM 1. Prove: AOB C AU B (A U B)C = A° n BC Here, AC and…

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Q: Shade the Venn Diagram for the set (AnB') uc

A: Given,  (A∩B')∪C

Q: Let the Universal Set, S, have 101 elements. A and B are subsets of S. Set A contains 59 elements…

A: It is given that,  set A contain 59 elements, n(A) =59 Set B contain 38 elements, n(B) =38 Set A and…

Q: Which of the following represent the universal set for the given sets and represent them through…

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Q: Express the following set in set-builder notation. B=(13, 14, 15, 16, 17, 18, 19, 20)

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Q: Let A = {5,6, 7}. What is P(A)? Do not merely describe the set, but rather write down all the…

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Q: Let the Universal Set, $, have 92 elements. A and B are subsets of S. Set A contains 27 elements and…

A: Given information nS=92 nA=27 nB=57 nA∩B=24 We have to find the number of elements are in neither in…

Q: Here is a Venn diagram showing the sets B and D, as well as the universal set U. -U- -B- -D- f,r ,x…

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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: (10) Write each of the following sets in the form of listing its elements (i.e. in the form {a,b,c}…

A: What is Power Set: Power set is very significant in set theory. Every set has a subset. Two improper…

Q: The Venn diagram shows sets A, B, C, and the universal set U. Shade (C'nA) U B on the Venn diagram.…

A: Given, A,B,C sets

Q: Use the Venn diagram to determine whether the statements are equal for all sets A and B.   A′ ∪ B′…

A: The given two statements are  A'UB' A∩B

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: In the Venn diagram, the universal set, S, represents all positive integers less than 10. O 2020…

A: if A is a universal set and B is any subset of A then complement of B denoted as  Bc is defined as…

Q: Here is a Venn diagram showing the sets B and D, as well as the universal set U. (The numbers shown…

A: Venn diagrams are diagramatic representations of sets. Given U = {1, 2, 3, 4, 5, 6, 7, 8} B = {1, 3,…

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”.