The answers to exercises marked [BB] can he found in the Back of the Book.
Let A, B, and C be arbitrary sets. For each of the following, either prove the given statement is true or exhibit a counterexample to prove it is false.
(a) A\(B∪C) = (A\B)∪(A\C)
(b) (A\B) × C = (A× C)\(B × C)
(c) [BB] (A ∩ B) × C = (A × C) ∩ (B × C)
(d) (A ∪ B) × (C ∪ D) = (A × C) ∪ (B × D)
(c) (A \ B) × (C \ D) = (A ×C)\(B × D)
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