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I need help with - Sets, Relations and Functions - JEE Main-13

If A{}'= X\: \: and\: \: X{}'= A. Then simplify \left (A\cup X{}' \right ){}'

  • Option 1)

    A\cap X

  • Option 2)

    A

  • Option 3)

    A\cup X

  • Option 4)

    X

 
Answers (1)
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As we learnt

 

COMPLEMENT PROPERTY -

 

U = φ and φ = U

-

 

 \left ( A\cup X{}' \right ){}'= A{}'\cap \left ( X{}' \right ){}'= A{}'\cap X= X\cap X= X

 


Option 1)

A\cap X

Option 2)

A

Option 3)

A\cup X

Option 4)

X

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