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For any sets A ,B and C ,Prove that A – (B U C) = (A-B) n (A – C) |
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Answer» ONG>Answer: Let A, B, and C be THREE sets. Prove that A-(BUC) = (A-B) ∩ (A-C) Solution) L.H.S = A - (B U C) A ∩ (B U C)c A ∩ (B c ∩ CC) (A ∩ Bc) ∩ (A∩ Cc) (AUB) ∩ (AUC) R.H.S = (A-B) ∩ (A-C) (A∩Bc) ∩ (A∩Cc) (AUB) ∩ (AUC) L.H.S = R.H.S |
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