Inequalities - Inequalities involving Substitution

Solve the inequality \(\frac{2}{x+2}>\frac{x-9}{{{x}^{2}}-2x-8}\). Hence, find the range of values of \(x\) that satisfy the inequality \(\frac{1}{{{x}^{2}}+1}>\frac{2{{x}^{2}}-9}{4\left( {{x}^{4}}-{{x}^{2}}-2 \right)}\).