If A and B are two given sets, then A ∩ ( A ∩ B ) c is equal to Options: A . &nbspA B . &nbspB C . &nbsp∅ D . &nbspA ∩ (Bc).

Answer: Option D : D A∩ ( A ∩ B ) c ) = A∩ ( A c ∪ B c ) = (A∩( A c )∪ (A∩( B c ) =∅∪ (A∩( B c ) = A∩( B c ).

If A and B are two given sets, then A ∩ (A∩B)cis

Question

If A and B are two given sets, then A ∩

(A \cap B)^{c}

is equal to

Options:

A . A

B . B

C . ∅

D . A ∩ (Bc).

Answer: Option D
:
D
A∩

(A \cap B)^{c}

) = A∩ (

A^{c}

∪

B^{c}

)
= (A∩(

A^{c}

)∪ (A∩(

B^{c}

)
=∅∪ (A∩(

B^{c}

) = A∩(

B^{c}

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