| Exam Board | OCR MEI |
|---|---|
| Module | C3 (Core Mathematics 3) |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Modulus function |
| Type | Solve |linear| < constant with sketch or follow-up application |
| Difficulty | Moderate -0.8 This is a straightforward modulus inequality question requiring a standard sketch and routine application of the definition |expression| < k means -k < expression < k. The algebraic solution involves simple linear manipulation with no conceptual challenges, making it easier than average for A-level. |
| Spec | 1.02g Inequalities: linear and quadratic in single variable1.02l Modulus function: notation, relations, equations and inequalities1.02s Modulus graphs: sketch graph of |ax+b| |
| Answer | Marks | Guidance |
|---|---|---|
| (i) Graph showing V-shape with vertex at approximately \((2, -4)\), passing through points at \(x = -1\) and \(x = 5\) | B1 | Right part |
| B1 | Left part | |
| 2 | ||
| (ii) Line \(y = 5\) to be shown on graph. \(-1 < x < 4\) | M1 A1 | |
| 2 |
**(i)** Graph showing V-shape with vertex at approximately $(2, -4)$, passing through points at $x = -1$ and $x = 5$ | B1 | Right part
| B1 | Left part
| 2 |
**(ii)** Line $y = 5$ to be shown on graph. $-1 < x < 4$ | M1 A1 |
| 2 |2 (i) Sketch the graph of $y = | 2 x - 3 |$.\\
(ii) Hence, or otherwise, solve the inequality $| 2 x - 3 | < 5$.
Illustrate your answer on your graph.
\hfill \mbox{\textit{OCR MEI C3 Q2 [4]}}