Question: Question 1. Let U denote the universal set, and A, B, C be three sets of U. For each of the statements below decide if

Question 1. Let U denote the universal set, and A, B, C be three sets of U. For each of the statements below decide if it is necessarily true, or it could be false. Justify your answer with a proof or provide a counterexample. (a) C\\ (A \\ B) CAUBUC. (b) (A \\ B) c = Ac \\ BC. (c) If A C B, then Bc C Ac

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