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BITSAT2023MathematicsBasics of MathematicsActual

The solution set of (x-2)^ x^3-6 x+8 >1 is

Options

  1. A(2, )
  2. B(2,3) (4, )
  3. C(4,5) (5, )
  4. D(2,3) (4,5)

Correct answer

B. (2,3) (4, )

Step-by-step solution

Clearly x>2 . Write the given inequality as aligned & (x^2-6 x+8 ) (x-2)>0 (x-2)(x-4) (x-2)> & 0 & (x-4) (x-2)>0 [ x>2] aligned

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