| Exam Board | Edexcel |
|---|---|
| Module | FP2 (Further Pure Mathematics 2) |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Topic | Modulus function |
| Type | Solve |quadratic| compared to linear: algebraic inequality |
| Difficulty | Standard +0.8 This modulus inequality requires systematic case analysis (splitting at x² = 2), careful algebraic manipulation of quadratic inequalities, and attention to domain restrictions (2x requires x ≥ 0 if interpreted as √(2x), though likely means 2·x). The need to combine solution sets from multiple cases and avoid sign errors makes this moderately challenging, though it follows a standard FP2 technique. |
| Spec | 1.02g Inequalities: linear and quadratic in single variable1.02l Modulus function: notation, relations, equations and inequalities |
Find the complete set of values of $x$ for which
$$|x^2 - 2| > 2x.$$
[7]
\hfill \mbox{\textit{Edexcel FP2 Q29 [7]}}