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AP EAMCET202423 May 2024Morning ShiftMathematicsQuadratic EquationActual

The set of all real values of x satisfying the inequality 7 x^2-5 x-18 2 x^2+x-6 2 is

Options

  1. A(- ,- 2 3 ] [3, )
  2. B(-2,- 2 3 ) ( 3 2 , 3 )
  3. C(- ,-2) ( 3 2 , )
  4. D[- 2 3 , 3 2 )

Correct answer

B. (-2,- 2 3 ) ( 3 2 , 3 )

Step-by-step solution

Since, 7 x^2-5 x-18 2 x^2+x-6 2 3 x^2-7 x-6 (x+2)(2 x-3) 0 (x-3)(3 x+2) (x+2)(2 x-3) 0 So, x (-2, -2 3 ) ( 3 2 , 3 ) .

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