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Let A,B,C be arbitrary sets. Prove or find a counterexample to each of the following statements:...

Let A,B,C be arbitrary sets. Prove or find a counterexample to each of the following statements: (a) (A\B)×(C \D) = (A×C)\(B×D) (b) A ⊆ B ⇔ A⊕B ⊆ B (c) A\(B∪C) = (A\B)∩(A\C) (d) A ⊆ (B∪C) ⇔ (A ⊆ B)∨(A ⊆ C) (e) A ⊆ (B∩C) ⇔ (A ⊆ B)∧(A ⊆ C)

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