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- let a b c be sets decide whether each of...
Question: let a b c be sets decide whether each of...
Question details
Let A, B, C be sets. Decide whether each of the following statements are true or false. If true, give a proof; if false, give a counterexample.
(a) A ∪ (B ∩ C) = (A ∪ B) ∩ C.
(b) A ∩ B ⊆ A \ B.
(c) A \ (B \ C) ⊆ (A \ B) ∪ C.
(d) (A \ B) ∪ (A ∩ C) ⊆ (A \ B) \ C
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