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If A \cap B = {3, 4, 5, 6} and A \cap C= {5} then the value of set A \cap (B - C) is ?

  • Option 1)

    {3, 4, 5, 6}

  • Option 2)

    {3}

  • Option 3)

    {3,4,6}

  • Option 4)

    {3,5}

 

Answers (1)

best_answer

As we have learnt,

 

Theorem on Operation -

A-(BUC)=(A-B)U(A-C)

A\cap(B-C)=(A\capB)-(A\capC)

-

 

 A \cap (B - C) = (A\cap B) - (A\cap C) = \{3,4,5,6\} - \{5\} = \{3,4,6\}

 


Option 1)

{3, 4, 5, 6}

Option 2)

{3}

Option 3)

{3,4,6}

Option 4)

{3,5}

Posted by

Himanshu

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