3 2. Suppose that A, B, and C are sets. For each of the following two statements, say clearly whether the statement is true or false. Then, if the statement is true, prove that it is true; if the statement is false, give a counterexample proving that it is false. (a) If AUC BUC, then it must be true that A = B. (b) If AnC BC, then it must be true that A = B.

Q: (d) An (BNC) = (Ar (e) If A C B, then (AUC) C (BUC) (f) ACB if and only if (AUB) = B

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