By using an algebraic method, solve the inequality $\frac{3{{x}^{2}}+14}{\left( x+1 \right)\left( x+

Question

By using an algebraic method, solve the inequality $\frac{3{{x}^{2}}+14}{\left( x+1 \right)\left( x+2 \right)}\ge 2$. [4] Hence, showing all your working clearly, solve the inequality $\frac{3{{x}^{2}}+14}{\left( \left| x \right|-1 \right)\left( \left| x \right|-2 \right)}\ge 2$. [2]

Accepted Answer

(i) $x -1$ (ii) $x > 2$ \text{ or } $x < -2$ \text{ or } $-1 < x < 1$

2016 NJC P2 Q2

2016 NJC P2 Q2

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