Write proof to the following statements. (a) Given that (A ∪ B) ∩ B′ ⊆ C prove that 2A∩B′ ⊆ 2C . (b) Prove that (A′ ∪ (A ∩ C) ∪ (A ∩ C′)) ∩ (B′ ∩ (C′ ∪ B) ∪ (C ∪ B)) = U , where U denotes the universal set?

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