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Question

For all the sets A, B and C,
(A – B) ∩ (C – B) =

A
(AC)B'
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B
(AC)B
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C
(AC)B
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D
(AC)B
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Solution

The correct option is B (AC)B
(A B) (C B)=(A B') (C B')
[using distributive law of sets-
P ∪ (Q ∩ R) = (P ∪ Q) ∩ (P ∪ Q)]
=(A C ) B' =(A C ) B

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