<p><strong>Do not use a calculator in answering this question.</strong></p>
<p>Solve the inequality ${{x}^{2}}+6x+5\le \frac{x+5}{3x+1}$.<span class="inline-marks">[4]</span></p>
<p>Hence solve</p>
<ol class="abc-list"><li><div class="list-item-paragraph">${{x}^{4}}+6{{x}^{2}}+5\le \frac{{{x}^{2}}+5}{3{{x}^{2}}+1}$,<span class="inline-marks">[2]</span></div></li><li><div class="list-item-paragraph">${{\left( \ln x \right)}^{2}}+6\ln x+5\le \frac{5+\ln x}{1+3\ln x}$.<span class="inline-marks">[2]</span></div></li></ol>

**Do not use a calculator in answering this question.**

Solve the inequality ${{x}^{2}}+6x+5\le \frac{x+5}{3x+1}$.

${{x}^{4}}+6{{x}^{2}}+5\le \frac{{{x}^{2}}+5}{3{{x}^{2}}+1}$,

${{\left( \ln x \right)}^{2}}+6\ln x+5\le \frac{5+\ln x}{1+3\ln x}$.

2023 RI Promo Q2

2023 RI Promo Q2

Video Solution: