| Exam Board | Edexcel |
|---|---|
| Module | FP2 (Further Pure Mathematics 2) |
| Year | 2004 |
| Session | June |
| Marks | 7 |
| 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 function, solving two quadratic inequalities, and carefully combining solution sets while avoiding sign errors. More demanding than routine modulus equations but standard for FP2 with clear methodology. |
| Spec | 1.02g Inequalities: linear and quadratic in single variable1.02l Modulus function: notation, relations, equations and inequalities |
6. Find the complete set of values of $x$ for which
$$\left| x ^ { 2 } - 2 \right| > 2 x$$
\hfill \mbox{\textit{Edexcel FP2 2004 Q6 [7]}}