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Addition of Rational Expressions

Solve for x...

Question

Solve for $x$ if:
$\frac{| x^{2} - 4 |}{x^{2} + x - 2} > 1$

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Solution

$\begin{matrix} \frac{∣ ∣ x^{2} - 4 ∣ ∣}{x^{2} + x - 2} > 1 x^{2} - 4 > x^{2} + x - 2 - 4 > x - 2 ∴ x < - 2 \end{matrix}$

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