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Solving a Quadratic Equation by Factorization Method

Solve the fol...

Question

Solve the following inequality:
$\frac{x^{2} + 6 x - 7}{| x + 4 |} < 0$

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Solution

$\frac{x^{2} + 6 x - 7}{| x + 4 |} < 0 ⟹ x^{2} + 6 x - 7 < 0 ⟹ (x + 7) (x - 1) < 0 ⟹ x \in (- 7, 1)$

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