If, B ⊂≠ A', then which of the following setsis equal to A',.
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a
(A ∩ B) ∪ B
b
(A∩ B) ∪ A'
c
(A ∪ B) ∩ A'
d
(A ∪ B) ∩ B
answer is B.
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Detailed Solution
For (a), (A∩ B) ∪ B = (A ∪ B) ∩ (B∪ B)For (b), (A∩ B) ∪ A' = (A ∪ A') ∩ (B ∪ A')= X ∩ A' = A'For (c), (A ∪ B) ∩ A' = (A ∩ A') ∪ (B ∩ A')= ∅ ∪ (B∩ A')= B ∩ A' = B.For (d) (A∪ B) ∩ B = B.