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Quantitative Aptitude

Solving Inequalities

Solve the fol...

Question

Solve the following inequality:
$1 + \frac{12}{x^{2}} < \frac{7}{x}$

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Solution

$1 + \frac{12}{x^{2}} < \frac{7}{x} 1 + \frac{12}{x^{2}} - \frac{7}{x} < 0 \frac{x^{2} - 7 x + 12}{x^{2}} < 0 \frac{(x - 4) (x - 3)}{x^{2}} < 0 x \in (3, 4)$

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