| Exam Board | Edexcel |
|---|---|
| Module | FP2 (Further Pure Mathematics 2) |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Topic | Inequalities |
| Type | Rational inequality algebraically |
| Difficulty | Standard +0.8 This FP2 inequality requires careful algebraic manipulation with sign considerations when multiplying by (x+3), solving a quadratic inequality, and then extending to absolute values. While systematic, it demands more sophistication than standard A-level inequalities and involves multiple cases, placing it moderately above average difficulty. |
| Spec | 1.02g Inequalities: linear and quadratic in single variable1.02l Modulus function: notation, relations, equations and inequalities |
\begin{enumerate}[label=(\alph*)]
\item Find the set of values of $x$ for which
$$x + 4 > \frac{2}{x+3}$$ [6]
\item Deduce, or otherwise find, the values of $x$ for which
$$x + 4 > \left|\frac{2}{x+3}\right|$$ [1]
\end{enumerate}
\hfill \mbox{\textit{Edexcel FP2 Q3 [7]}}