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Application of inequalities and absolute values

Solve the fol...

Question

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

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Solution

$\frac{x^{2} - 1}{x^{2} + x + 1} < 1$
$x^{2} - 1 < x^{2} + x + 1$
$x + 2 > 0$
$x ϵ (- 2, \infty)$

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Application of inequalities and absolute values

Standard XII Mathematics

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