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Multiplication of Any Polynomial

Solve the fol...

Question

Solve the following inequality:
$\frac{1}{x^{2} - 5 x + 6} ⩾ \frac{1}{2}$

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Solution

$\frac{1}{x^{2} - 5 x + 6} \geq \frac{1}{2} 2 \geq x^{2} - 5 x + 6 x^{2} - 5 x + 4 \leq 0 (x - 4) (x - 1) \leq 0 x \in (1, 4)$

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