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Question

If A and B are two given sets, then A (AB)c is equal to


A

A

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B

B

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C

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D

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Solution

The correct option is D


A ∩ (AB)c) = A ∩ (AcBc)

= (A ∩ (Ac ) ∪ (A ∩ (Bc)

= ∅ ∪ (A ∩ (Bc) [ (A ∩ (Ac ) = ∅ ]

= A ∩ (Bc)


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