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Combination

Solve the fol...

Question

Solve the following inequalities.
$\frac{5 x - 1}{x^{2} + 3} < 1$

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Solution

$\frac{5 x - 1}{x^{2} + 3} < 1$
$5 x - 1 < x^{2} + 3$
$x^{2} - 5 x + 4 > 0$
$(x - 4) (x - 1) > 0$
$x ϵ (- \infty, 1) \cup (4, \infty)$

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