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If 9 x^2+6 x+1 < (2-x) , then:

Options

  1. Ax (- 3 2 , 1 4 )
  2. Bx (- 3 2 , 1 4 ]
  3. Cx [- 3 2 , 1 4 )
  4. Dx < 1 4

Correct answer

A. x (- 3 2 , 1 4 )

Step-by-step solution

9 x^2+6 x+1 < (2-x) (3 x+1)^2 < (2-x) (3 x+1) < 2-x Taking + ve sign 3 x+1 < 2-x x < 1 4 Taking -ve sign -3 x-1 < 2-x -2 x < 3 x>- 3 2 x (- 3 2 , 1 4 )

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