Solve the inequality $\frac{x-1}{x+1}\frac{x}{6}$. Hence find the range of values of $x$ tha

Question

Solve the inequality $\frac{x-1}{x+1}>\frac{x}{6}$. Hence find the range of values of $x$ that satisfy the inequality $\frac{\ln \left( \frac{x}{e} \right)}{\ln \left( ex \right)}>\frac{\ln x}{6}$.

Accepted Answer

$x < -1$ or $2 < x < 3$; $0 < x < \dfrac{1}{\mathrm{e}}$ or $\mathrm{e}^2 < x < \mathrm{e}^3$

Inequalities - Inequalities involving Substitution

Inequalities - Inequalities involving Substitution

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