Let A, B and C be subsets of a universal set U. Prove that (a) ACB if and only if An Bc = Ø. (b) An BCC if and only if ACCUBC. (c) (AUB)\C = (A\C) U (B\C)

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1. Let A, B and C be subsets of a universal set U. Prove that
(a) ACB if and only if An B = 0.
(b) An BCC if and only if ACCUBc.
(c) (AUB)\C = (A\C) U (B\C)
Transcribed Image Text:1. Let A, B and C be subsets of a universal set U. Prove that (a) ACB if and only if An B = 0. (b) An BCC if and only if ACCUBc. (c) (AUB)\C = (A\C) U (B\C)
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