4. Recall that P(S) denotes the power set of S, which is the set of all...

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4. Recall that P(S) denotes the power set of S, which is the set of all subsets of S. Let A and B be sets. (a) (4 points) Is it true that P(A) U P(B) C P(AUB)? If so, prove it. If not, provide a counterexample. P(AUB)? If so, prove it. If not, provide a = (b) (4 points) Is it true that P(A) U P(B) = counterexample. 4. Recall that P(S) denotes the power set of S, which is the set of all subsets of S. Let A and B be sets. (a) (4 points) Is it true that P(A) U P(B) C P(AUB)? If so, prove it. If not, provide a counterexample. P(AUB)? If so, prove it. If not, provide a = (b) (4 points) Is it true that P(A) U P(B) = counterexample.

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a Yes it is true that PA PB PA B To prove this let X ... View the full answer