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If A and B are any two sets, then  A \cup (A \cap B ) is equal to

  • Option 1)

    BC

  • Option 2)

    AC

  • Option 3)

    B

  • Option 4)

    A

 

Answers (1)

best_answer

As we learnt in 

DISTRIBUTIVE PROPERTY -

A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)

-

 

 A\cup \left ( A\cap B \right )=\left ( A\cup A \right )\cap \left ( A\cup B \right )=A\cap \left ( A\cup B \right )=A

Also as seen in the venn diagram


Option 1)

BC

Incorrect

Option 2)

AC

Incorrect

Option 3)

B

Incorrect

Option 4)

A

Correct

Posted by

divya.saini

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