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  • Can someone explain - Sets, Relations and Functions - JEE Main-11

Given A\cap B= \left \{ 5,7,9 \right \};A\cap C= \left \{ 3,8,7 \right \}. Find the value of A\cap \left (B\cup C \right )

  • Option 1)

    {7}

  • Option 2)

    {3,8,7}

  • Option 3)

    {3,5,7,8,9}

  • Option 4)

    {5,7,9}

 

Answers (1)

best_answer

As we learnt

 

DISTRIBUTIVE PROPERTY -

 

A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)

-

 

 

A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)

                         ={5,7,9} ∪  {3,8,7}

                  ={3,5,7,8,9}


Option 1)

{7}

Option 2)

{3,8,7}

Option 3)

{3,5,7,8,9}

Option 4)

{5,7,9}

Posted by

Himanshu

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