| Exam Board | Edexcel |
|---|---|
| Module | FP2 (Further Pure Mathematics 2) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Topic | Inequalities |
| Type | Solve absolute value inequality |
| Difficulty | Standard +0.8 This is a Further Pure 2 modulus inequality requiring case analysis (splitting at x² = 4), solving two quadratic inequalities, and carefully combining solution sets while checking validity of cases. More demanding than standard A-level inequalities due to the quadratic inside the modulus and the need for systematic case work, but follows a well-established technique taught in FP2. |
| Spec | 1.02l Modulus function: notation, relations, equations and inequalities1.02t Solve modulus equations: graphically with modulus function |
Find the set of values of $x$ for which
$$|x^2 - 4| > 3x.$$ [5]
\hfill \mbox{\textit{Edexcel FP2 Q1 [5]}}