Question: For each statement below, indicate whether it is true or false. Prove each statement that is true and give a counterexample for each statement that
For each statement below, indicate whether it is true or false. Prove each statement that is true and give a counterexample for each statement that is false.
(a) For all sets A, B, and C, (AB) (CB) = A (BC).
(b) For all sets A and B, if AB = then AB = .
(c) For all sets A and B, P(AB) = P(A)P(B).
(d) For all sets A and B, P(AB) = P(A)P(B).
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