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Integration by Parts

Solve the fol...

Question

Solve the following inequality:
$\frac{3 x^{2} - 4 x - 6}{2 x - 5} < 0$

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Solution

$x \neq 5 / 2$
$3 x^{2} - 6 x - 1 < 0 ⟹ x \in (\frac{3 - 2 \sqrt{3}}{3}, \frac{3 + 2 \sqrt{3}}{3}) - 5 / 2$

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