Solve $\frac{3}{x - 2} > 4, x \in R$

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Solution

$\frac{3}{x - 2} > 4$
$\Rightarrow 3 > 4 x - 8$
$\Rightarrow 3 + 8 > 4 x$
$\Rightarrow x < \frac{11}{4}$
$∴ x \in (- \infty, \frac{11}{4})$

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