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Question

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


A

A

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B

B

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C

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D

ABc

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Solution

The correct option is D

ABc


We can solve the given expression by using laws of operations on sets as follows:

A (A B)c

=A (Ac Bc)
[De Morgan's law]

=(A Ac) (A Bc)

=ϕ (A Bc)

=A Bc


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