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Let A and B be subsets of a universal set U such that (A ∪ B)′ = A′ ∩ B′ and (A ...

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Let A and B be subsets of a universal set U such that (A ∪ B)′ = A′ ∩ B′ and (A ∩ B)′ = A′ ∪ B′, where (′) denotes complement with respect to U.

If A ⊆ B, which of the following statements is necessarily true?

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