Suppose that each of A, B, and C is a set and each of BnC, A–(BnC), A-B, A-C, and (A – B) n (A – C) has at least one member. Does it follow that A – (BnC) = (A – B) n (A – C)? If so, prove that it...

Suppose that each of A, B, and C is a set and each of BnC, A–(BnC), A-B, A-C,<br>and (A – B) n (A – C) has at least one member. Does it follow that A – (BnC) =<br>(A – B) n (A – C)? If so, prove that it does. If not, give a specific example to show<br>that it does not.<br>

Extracted text: Suppose that each of A, B, and C is a set and each of BnC, A–(BnC), A-B, A-C, and (A – B) n (A – C) has at least one member. Does it follow that A – (BnC) = (A – B) n (A – C)? If so, prove that it does. If not, give a specific example to show that it does not.

Jun 05, 2022

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Suppose that each of A, B, and C is a set and each of BnC, A–(BnC), A-B, A-C, and (A – B) n (A – C) has at least one member. Does it follow that A – (BnC) = (A – B) n (A – C)? If so, prove that it...

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