By using a graphical method, solve the inequality \(\left| {{x}^{2}}-x-6 \right|\ge \frac{x-2}{x+3}\

Question

By using a graphical method, solve the inequality $\left| {{x}^{2}}-x-6 \right|\ge \frac{x-2}{x+3}$.[5] Solve algebraically the inequality $\frac{\ln \left( {{x}^{3}} \right)}{\ln \left( x \right)-2}\ge 3$, leaving your answers in exact form.[3]

Accepted Answer

(a) $x\leq-3.55$ or $-3e^2$

2020 TJC Promo Q6

2020 TJC Promo Q6

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