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Concept of Inequality

Solve the fol...

Question

Solve the following inequality:
$\frac{2 x^{2} - 3 x - 459}{x^{2} + 1} > 1$

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Solution

$\frac{2 x^{2} - 3 x - 459}{x^{2} + 1} > 1$
$2 x^{2} - 3 x - 459 > x^{2} + 1$
$x^{2} - 3 x - 460 > 0$
$x^{2} - 23 x + 20 x - 460 > 0$
$(x - 23) (x + 20) > 0$
$x ϵ (- \infty, - 20) \cup (23, \infty)$

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