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Combination

Solve the fol...

Question

Solve the following inequality:
$\frac{5 - 2 x}{3 x^{2} - 2 x - 16} < 1$

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Solution

$\frac{5 - 2 x}{3 x^{2} - 2 x - 16} < 1 \frac{5 - 2 x}{3 x^{2} - 2 x - 16} - 1 < 0 \frac{5 - 2 x - 3 x^{2} + 2 x - 16}{3 x^{2} - 2 x - 16} < 0 \frac{3 x^{2} + 11}{3 x^{2} - 8 x + 6 x - 16} > 0 \frac{1}{(3 x + 2) (3 x - 8)} > 0 x \in (- \infty, \frac{2}{3}) \cup (\frac{8}{3}, \infty)$

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