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Inequalities Involving Modulus Function

Solve the fol...

Question

Solve the following inequality:
$\frac{x}{x^{2} - 3 x - 4} > 0$

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Solution

$\frac{x}{x^{2} - 3 x - 4} > 0$
$\frac{x}{(x - 4) (x + 1)} > 0$
$x ϵ (- 1, 0) \cup (4, \infty)$

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Inequalities Involving Modulus Function

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