2015 AJC Promo Q1

Without the use of graphic calculator, solve the inequality

\(\frac{{{x}^{2}}-4x+5}{{{x}^{2}}-5x+6}\ge 0\).[3]

Hence solve the inequality

\(\frac{{{x}^{2}}-4\left| x \right|+5}{{{x}^{2}}-5\left| x \right|+6}<0\).[2]