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Reducing Equations to Simpler Form

solve : x2-5...

Question

solve :
$\frac{x^{2} - 5 x + 6}{| x | + 7} < 0$ then $x ϵ (α, β)$ $α + β$ =

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Solution

Given $\frac{x^{2} - 5 x + 6}{| x | + 7} < 0$
As $| x | \geq 0 ⟹ | x | + 7 > 0$
So $x^{2} - 5 x + 6 < 0$
$⟹ (x - 2) (x - 3) < 0$
$⟹ x \in (2, 3)$

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Reducing Equations to Simpler Form

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