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Problem 1. [20 Points] Suppose A, B and C are sets over the same universal set. Use the laws of
propositional logic, rules of inference and set identities to prove the following statements. Provide
your proof in column format. You should express the applied rules or definitions for each line of
a) A- (BNC) = (A – B)U(A-C).
b) If (A – B) nC = 0 and X e A and x e C, then x E B
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