<ol class="abc-list"><li><div class="list-item-paragraph">Without using a calculator, solve the inequality \(\frac{2x^2 + 3x + 10}{x^2 - x} \ge 2\).<span class="inline-marks">[3]</span></div></li><li><div class="list-item-paragraph">Hence, find the set of values of \(x\) for which \(\frac{2\mathrm{e}^{2x} - 3\mathrm{e}^x + 10}{\mathrm{e}^{2x} + \mathrm{e}^x} \ge 2\).<span class="inline-marks">[2]</span></div></li></ol>

Without using a calculator, solve the inequality \(\frac{2x^2 + 3x + 10}{x^2 - x} \ge 2\).

Hence, find the set of values of \(x\) for which \(\frac{2\mathrm{e}^{2x} - 3\mathrm{e}^x + 10}{\mathrm{e}^{2x} + \mathrm{e}^x} \ge 2\).

2024 VJC Promo Q2

2024 VJC Promo Q2