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Unformatted text preview: Assume, x [(A B) C]. So, x A, but x B and x C. B C is a subset of B. X B, therefore, x (B C). Hence x A (B C) Therefore, (A B) C = (A C) (B C). 3. a. Prove that for any sets A and B, P(A) U P (B) P(A U B) b. Find an example of two sets A and B, such that, P(A) U P(B) = P (A U B) c. Find an example of two sets A and B, such that, P(A) U P(B) P (A U B)...
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 Fall '08
 Alligood,K
 Advanced Math, Sets

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