Problem 2. Let A, B be sets. Prove that if ACB, then P(A) CP(B). Explain why...

Question

Question

Problem 2. Let A, B be sets. Prove that if ACB, then P(A) CP(B). Explain why we can conclude that if A= B, then P(A) = P(B).

Problem 3. Let A.B be sets. Prove that if P(A) CP(B), then ACB. Explain why we can conclude that if P(A) = P(B), then A= B.

Answer 1

Answer #1

then ACB then P(A) € P(B) - Ib A is emply set S terially true het Abe non empty set let XEP (A) - P(A) is the set of all subs

Answer 2

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