The values of $x$ for which the inequality $\frac{8 x^2+16 x-51}{(2 x-3)(x+4)}>3$ holds, are

The values of $x$ for which the inequality $\frac{8 x^2+16 x-51}{(2 x-3)(x+4)}>3$ holds, are
  1. $x \geq 4$
  2. $-4 \leq x \leq-3$
  3. $\frac{3}{2} < x < \frac{5}{2}$
  4. $x < -4$ or $x>\frac{5}{2}$ or $-3 < x < \frac{3}{2}$

Solution

No solution. Refer to answer key.

Asked in: AP EAMCET 2017 (25 Apr Shift 1)

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