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BITSAT2010MathematicsSets and RelationsActual

Let ( A = x: x R ,|x| < 1 ); ( B = x: x R ,|x-1| 1 and A B = R - D , ) then the set ( D ) is

Options

  1. A( x: 1 < x 2 )
  2. B( x: 1 x < 2 )
  3. C( x: 1 x 2 )
  4. DNone of these

Correct answer

B. ( x: 1 x < 2 )

Step-by-step solution

( aligned & A =[x: x R ,-1 < x < 1] & B =[x: x R : x-1 -1 or x-1 1] &=[x: x R: x 0 or x 2] & A B=R-D, aligned ) where (D=[x: x R, 1 x < 2] )

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