Let U be a universal set with disjoint subsets A and B such that n(A)=44, n(A′)=45, and n(B′)=70. Find the number of elements in A∪B. n(A∪B)=

Q: Find the intersection of the sets. {s, e, t}∩{t, e, s}

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Q: Write down all elements of {I, J, K} x {W, X}. (Enter your answer in set notation.)…

A: The given problem is to find the Cartesian product of the given sets {I,J,K} and {W,X}.

Q: Find the intersection between the set of all integers bigger than 0 but smaller than 10 and the set…

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Q: Let 4, B, and C be sets. Show that a) (A - B) – CSA C. b) (A - C) n (C- B) = 0.

A: Answer

Q: Let A and B be finite sets with A - B = {a, b, c, d, e, f, g} and An B = {h, i, j, k, l, m}. Find…

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Q: Give an example of sets A and B for which |A U B| = |A|+|B|.

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Q: For the universal set U and the given sets U = {1,2,3,4,5,6,7,8,9,10}, A = {1,3,5}, B = {1,2},C =…

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Q: d) Suppose X = {1,2, 3} and Y = {5,6}. The number of elements of the set P(X× Y) =

A: Elements in X = 3. Elements in Y = 2 Elements in X × Y = 3 × 2 = 6

Q: Let A, B, and C be non-empty sets. Then A×B×C=A×C×B if and only if*

A: Let us consider four set A , B, C and D then AxC=BxD if all the elements of A are same as all the…

Q: et A, B, C and D be sets. Prove that (AnB)u(CnD)=(AUC) n(BUC) n(AUD)n(BUD)

A: The set A∪B contains all the elements that are present either in set A or in set B. The set A∩B…

Q: Find two infinite sets A and B so that A UB, AN B,А — В аnd B — А are all infinite sets. Show the…

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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: Y={a,b,c,d,f} Is the following statement True? ∅⊆Y

A: The given set is                        Y={ a , b , c , d , f } We know that for every set S , S⊂S ,…

Q: set identities that A∪B∪ (A∩B∩C) = A∪B∪C

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Q: Q17D. Define the sets A, B, C, and D as shown. Find (An C) U (B n D). A C C

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Q: Let A and B be two sets. We denote A- B = { x | x∊A and xÏB}. Prove that A∪B=(A−B)∪(A∩B)∪(B−A).

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Q: A = {−1,0,1,2,3}, B = {12,1,4}, C = {x|0 < x ≤ 2}, D = (−1,1]. Find each of the following sets: 6.…

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Q: If P(A₁) > 0 and if A2, A3, A4,... are mutually disjoint sets, show that P(A2 U A3 U ... |A₁) =…

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Q: Let A = {7m +1 : m € Z} and B = {14n – 6 : n € Z} be subsets of a universal set U. Justify why A ¢ B…

A: Consider the given sets:

Q: A  =  {E2, E4} B  =  {E1, E3} C  =  {E1, E4, E5} P*A=0.4 P*B=0.4 P*C=0.6 P(A U B)=0.8 Find  AC.…

A: Solution-: Given:  A={E2,E4} B={E1,E3} C={E1,E4,E5} We want to find  (a) Ac=? (b) Cc=? (c) A∪Bc=?

Q: Let A and B be any sets. Show that: (a) A – B, B - A, and An B are disjoint with each other. (b) A =…

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Q: Find the union of the sets. {e, m, p, t, y}∪∅

A: we have to find the union of the sets. e,m,p,t,y∪∅

Q: Let U = {x | x is an integer and 0 < 6x < 60} be the universal set that contains the following…

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Q: Give an example of four sets A, B, C and D such that (AUC) x (BUD) ≤ (A x B) U (C x D).

A: The set A is a subset of B if every element of A is in B

Q: Prove for every two sets A and B that A∪B= (A-B)∪(B-A)∪(A∩B)

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Q: Let A and B be sets. The symmetric difference of A and B, denoted A∆B, is the set A∆B = (A −B) ∪(B…

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Q: 1. If A = {1,2,3, 4}, B = {3,4, 5, } are the subsets of a universal set U = {1,2,3, 4, 5, 6}, find…

A: Given that  A={1,2,3,4} and B={3,4,5} are the subsets of the universal set U={1,2,3,4,5,6}.

Q: Find the union of each of the following pairs of sets :(i) X = {1, 3, 5} Y = {1, 2, 3}(ii) A = [ a,…

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Q: Find two sets A and B such that A E B and AB.

A: A=ϕ. And B={ϕ}Explanation:If you have any problem let me know here in comment box for this thankyou.

Q: The table shows some trees that are in two city parks. Let U be the smallest possible set that…

A: The set Re defines the set of trees in Riverside Park and set S defines the set of trees on Sleepy…

Q: a and b be disjoint subsets of the universal set U. Assume n(U) = 110, n(A)=50 and n(B) = 25. Find…

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Q: Find the intersection of the sets. {w, y, z}∩∅

A: Given, w,y,z∩∅we have to find intersection of the sets.