New answer: For each of 521 prove each statement that is true and find a counterexample

Chapter 6, Problem 20

(choose chapter or problem)

For each of 5–21 prove each statement that is true and find a counterexample for each statement that is false. Assume all sets are subsets of a universal set U.

For all sets A and B, \(\mathscr{P}(A \cap B)=\mathscr{P}(A) \cap \mathscr{P}(B)\).

Text Transcription:

mathscr P(A cap B)=mathscr P(A) cap mathscr P(B)

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