Inequalities - Inequalities involving Substitution

Solve the inequality \(\frac{2x-{{x}^{2}}-5}{(x+1)(x-3)}\le 0\). Hence, solve the following inequalities:

1. \(\frac{2x-{{(x+2)}^{2}}-1}{(x+3)(x-1)}\le 0\) 
2. \(\frac{2\left| x \right|-{{x}^{2}}-5}{(\left| x \right|+1)(\left| x \right|-3)}\le 0\)
3. \(\frac{2\ln x-{{(\ln x)}^{2}}-5}{(\ln x+1)(\ln x-3)}\le 0\)
4. \(\frac{2{{e}^{x}}-{{e}^{2x}}-5}{({{e}^{x}}+1)({{e}^{x}}-3)}\le 0\)