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  • Need explanation for: - Sets, Relations and Functions - JEE Main-7

If A\times B = \{1,2,3\} and A\times C = \{2\} then A\times(B - C )=?

  • Option 1)

    {1,2,3}

  • Option 2)

    {2}

  • Option 3)

    {1,3}

  • Option 4)

    {1}

 

Answers (1)

best_answer

As we have learnt,

 

Theorem of Cartesian Product -

AX(B-C)=(AXB)-(AXC)

-

 

 A\times (B - C) = (A\times B) - (A\times C) = \{1,2,3\} - \{2\} = \{1,3\}

 


Option 1)

{1,2,3}

Option 2)

{2}

Option 3)

{1,3}

Option 4)

{1}

Posted by

Himanshu

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