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Concept of Inequality

Solve the fol...

Question

Solve the following inequality:
$\frac{x^{2} + 6 x - 7}{x^{2} + 1} ⩽ 2$

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Solution

$\frac{x^{2} + 6 x - 7}{x^{2} + 1} \leq 2$
$x^{2} + 6 x - 7 \leq 2 x^{2} + 2$
$x^{2} - 6 x + 9 \geq 0$
$(x - 3)^{2} \geq 0$
$x ϵ R$

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