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AP EAMCET202317 May 2023Morning ShiftMathematicsBasics of MathematicsActual

The set x R : 16 (2^X )>16^ -1 x =

Options

  1. Ax R : x >0
  2. Bx R : x < 0
  3. CR
  4. Dx R : x>2

Correct answer

A. x R : x >0

Step-by-step solution

aligned & 16 (2^x )>16^ - 1 x 2^ x+4 >2^ -4 / x & x+4>-4 / x x^2+4 x+4>0 & (x+2)^2>0 aligned which is true for all x R

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