Prove or give a counterexample. (a) A × B = B × A (b) (A ∪ B) × C = (A × C ) ∪ (B × C ) (c) (A × B) ∩ (C × D) = (A ∩ C ) × (B ∩ D) (d) (A × B) ∪ (C × D) = (A ∪ C ) × (B ∪ D)

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