Solve the inequality ${{x}^{2}}\frac{8}{{{x}^{2}}+2}$. Hence, find the range of values of \(x\

Question

Solve the inequality ${{x}^{2}}>\frac{8}{{{x}^{2}}+2}$. Hence, find the range of values of $x$ that satisfy the inequality $\frac{8{{e}^{2x}}}{{{e}^{-2x}}+2}<1$.

Accepted Answer

$x\sqrt{2}$; $x<-\frac{1}{2}\ln 2$

Inequalities - Inequalities involving Substitution

Inequalities - Inequalities involving Substitution

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