1.

For any sets A ,B and C ,Prove that A – (B U C) = (A-B) n (A – C)​

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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