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Inequalities Involving Modulus Function

Solve the fol...

Question

Solve the following inequality:
$\frac{x^{2} + 4 x + 4}{2 x^{2} - x - 1} > 0$

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Solution

$\frac{x^{2} + 4 x + 4}{2 x^{2} - x - 1} > 0$
$\frac{(x + 2)^{2}}{(2 x + 1) (x - 1)} > 0$
$x ϵ (- \infty, - 2) \cup (- 2, \frac{- 1}{2}) \cup (1, \infty)$

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Inequalities Involving Modulus Function

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