<ol class="i-list"><li><div class="list-item-paragraph">Without using a calculator, solve the inequality</div><div class="list-item-paragraph" style="text-align: center">$\frac{x}{1-16{{x}^{4}}}\le \frac{x}{4{{x}^{2}}+1}$.</div><p style="text-align: right;">[4]</p></li></ol>
<p>Hence solve the following inequalities,</p>
<ol class="i-list" start="2"><li><div class="list-item-paragraph">$\frac{\left| x \right|}{1-16{{x}^{4}}}\le \frac{\left| x \right|}{4{{x}^{2}}+1}$,</div><p style="text-align: right;">[2]</p></li><li><div class="list-item-paragraph">$\frac{\sin x}{1-16{{\left( \sin x \right)}^{4}}}\le \frac{\sin x}{4{{\left( \sin x \right)}^{2}}+1}$ for $0\le x\le 2\pi $, giving your answers in exact form.</div><p style="text-align: right;">[3]</p></li></ol>

Without using a calculator, solve the inequality

$\frac{x}{1-16{{x}^{4}}}\le \frac{x}{4{{x}^{2}}+1}$.

$\frac{\left| x \right|}{1-16{{x}^{4}}}\le \frac{\left| x \right|}{4{{x}^{2}}+1}$,

$\frac{\sin x}{1-16{{\left( \sin x \right)}^{4}}}\le \frac{\sin x}{4{{\left( \sin x \right)}^{2}}+1}$ for $0\le x\le 2\pi $, giving your answers in exact form.

2020 HCI C1CT2 Q1

2020 HCI C1CT2 Q1

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