2. Prove that if A, B,C are sets such that ANBNC = 0, then (A\B)n(C\B) = AnC. Prove that for onu got

Q: If A and B are bounded subsets of R, then prove that AUB and AB are bounded.

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Q: Prove that for any sets A, B, C: (AUB)-B A - B

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Q: Let B be a set and {A: aeA} be an arbitrary family of sets. Then BUn A) = %3D

A: Answer

Q: 4: Ex 4.) Let S be a non empty bounded set in R. a ( a. Let azo, and let oS := {as: SES}. Prove that…

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Q: |x²| = p^ n

A: Given: X=pWe need to show that Xn=pn

Q: True or false? For all sets A and B,  (A∪B)'=A'∪B' This can be determined by constructing a…

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Q: Let C, D be subsets of a set U. By proving two inclusions, show that (CC n D) U (C n D) = D where Ce…

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Q: Question: 7. Suppose A and B are sets in universe U. Prove that An (AUB) = B\ A.

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Q: 1. Determine which of the following statements are true for all sets A, B, C, and D. If a double…

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Q: Let A, B, and C be subsets of a universal set U and suppose n(U)= 150, n(A) = 22, n(B) = 24, n(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: THEOREM: (Cayley) Let (G, *) be a group and a E G. Then 1. The map Aa: G G defined by A(x) = a*r is…

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Q: Prove that: m*(A) 2 0, for all sets A

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Q: B. Let B and C be the subsets of some universal set X, then prove that (C – B)' = BU C'

A: let B and C be the subsets of some universet x1 then prove that (c-B)' = BUC'

Q: Let C, D be subsets of a set U. By proving two inclusions, show that (Cºn D) U (C N D) = D where CC…

A: Identities of the sets

Q: 3. Let A = {a} be a bounded subset of R. Which of these three statements about A is/are not true? I:…

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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: Given a finite set S, find all possible values of |S] so that the set {(a, b) | (a E S) A (b e S) ^…

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Q: Prove that if X ∩ Y = X ∩ Z and X ∪ Y = X ∪ Z, then Y = Z for all sets X, Y , and Z.

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Q: If A, B, C are sets, show that a) A x B= 0 ⇒ A=0 or B = 0. b) (AUB) x C = (AXC) U (BxX C). c) (An B)…

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Q: (a) For any sets A, B and C, prove that if AC BUC and AnC= Ø, then ACB.

A: Since you have posted multiple questions according to guidelines we can solve only first question.…

Q: ove any set A,B and C prove that: a) (A – C) U (B – C) = (A U B) – C

A: We have to prove the given conditions

Q: 28 Let A, B and C be subsets of a universal set U with CCANB. Suppose n(U) = 50, n(A) = n(B) = 25,…

A: Option f) is correct. Answer =7