Let S be a set. For every subset A of S we denote by A the complement of A in S. Show that for all subsets A, B, C of S the following equality holds: An (BUC) = (AUB) n(AUC).

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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

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Q: Prove T={ …,-56,-42,-28,-14,0,14,28,42,…} is a countable set

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Q: Could you please help me solve this question? I’m not sure how to.

A: Step 1: Step 2: Step 3: Step 4:

Q: Let A and B be sets prove the following. AC B if and only if A UB = B.

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Q: %3D Let C, D be subsets of a set U. By proving two inclusions, show that (CC n D) U (Cn D) = D where…

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Q: Let S, T be any subsets of a universal set U. Prove that (ST)º = S¢ µTº.

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