| Exam Board | Edexcel |
|---|---|
| Module | FP2 (Further Pure Mathematics 2) |
| Year | 2012 |
| Session | June |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Modulus function |
| Type | Solve |quadratic| compared to linear: algebraic inequality |
| Difficulty | Standard +0.8 This requires systematic case analysis of the modulus (splitting at x²-4=0), solving resulting quadratic inequalities, and carefully combining solution sets while checking validity of cases. More demanding than routine modulus equations due to the inequality and quadratic expression, but a standard FP2 technique once learned. |
| Spec | 1.02l Modulus function: notation, relations, equations and inequalities |
\begin{enumerate}
\item Find the set of values of $x$ for which
\end{enumerate}
$$\left| x ^ { 2 } - 4 \right| > 3 x$$
\hfill \mbox{\textit{Edexcel FP2 2012 Q1 [5]}}