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Which one of the following is correct?

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Which one of the following is correct?

(a) A ∪ (B – C) = A ∪ (B ∩ C′ ) 

(b) A – (B ∪ C) = (A ∪ B′) ∩ C′ 

(c) A – (B ∩ C) = (A ∩ B′) ∩ C 

(d) A ∩ (B – C) = (A ∩ B) ∩ C

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(b) A – (B ∪ C) = A ∩ (B ∪ C)′

A. A ∪ (B – C) = A ∪ (B ∩ C′) 

B. A – (B ∪ C) = A ∩ (B ∪ C)′ = A ∩ (B′ ∪ C′) 

C. A – (B ∩ C) = A ∩ (B ∩ C)′ = A ∩ (B′ ∪ C′)

D. A ∩ (B – C) = A ∩ (B ∩ C′) 

Hence B is the correct option.

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