2013 MI P2 Q1

Without the use of a calculator, solve the inequality

\(\frac{3{{x}^{2}}-4x-7}{{{x}^{2}}-x-6}\ge 2\).[4]

Hence solve the inequality

\(\frac{3{{x}^{2}}-4\left| x \right|-7}{{{x}^{2}}-\left| x \right|-6}\ge 2\)[2]