8 x^ 2 +16 x-51 (2 x-3)(x+4) >3 if x is such that

Mathematics · JEE Advanced · NTA ExamsComplex Numbers and Quadratic Equations

\(\frac{8 x^{2}+16 x-51}{(2 x-3)(x+4)}>3\) if x is such that
  1. x < – 4
  2. –3 < x < 3/2
  3. x > 5/2
  4. all these true

Answer

(D) all these true

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