| Exam Board | OCR |
|---|---|
| Module | C3 (Core Mathematics 3) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Inequalities |
| Type | Solve absolute value inequality |
| Difficulty | Standard +0.8 This modulus inequality requires systematic case analysis by considering critical points x = 3/2 and x = -1, then solving quadratic inequalities in each region. While the technique is standard C3 content, the multi-case approach and careful interval checking makes it more demanding than routine modulus equations, requiring strong algebraic manipulation and logical organization. |
| Spec | 1.02l Modulus function: notation, relations, equations and inequalities1.02t Solve modulus equations: graphically with modulus function |
Solve the inequality $|2x - 3| < |x + 1|$. [5]
\hfill \mbox{\textit{OCR C3 Q2 [5]}}