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Quadratic Equation

Solve the fol...

Question

Solve the following inequality:
$\frac{5 - 4 x}{3 x^{2} - x - 4} < 4$

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Solution

$\frac{5 - 4 x}{{3 x}^{2} - x - 4} < 4 \frac{5 - 4 x}{{3 x}^{2} - x - 4} - 4 < 0 \frac{5 - 4 x - 12 x^{2} + 4 x + 16}{{3 x}^{2} - 4 x + 3 x - 4} < 0 \frac{12 x^{2} - 21}{(3 x - 4) (x + 1)} > 0 x \in (- \infty, \sqrt{\frac{7}{4}}) \cup (- 1, \frac{4}{3}) \cup (\sqrt{\frac{7}{4}}, \infty)$

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