Prove the following
A-(Buc) = (A-B) n(A-C)
Answers
Answered by
5
Answer:
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
Answered by
6
Answer:
Hy mate here is your 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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