| Exam Board | Edexcel |
|---|---|
| Module | FP2 (Further Pure Mathematics 2) |
| Year | 2003 |
| Session | June |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Modulus function |
| Type | Sketch modulus of linear and non-modulus linear, find intersection |
| Difficulty | Moderate -0.3 This is a straightforward modulus function question requiring a standard sketch and solving a linear modulus inequality by considering two cases (2x-3 ≥ 0 and 2x-3 < 0). While it's Further Maths content, the technique is routine and mechanical with no novel insight required, making it slightly easier than average overall. |
| Spec | 1.02l Modulus function: notation, relations, equations and inequalities1.02s Modulus graphs: sketch graph of |ax+b| |
10. (a) Sketch, on the same axes, the graphs with equation $y = | 2 x - 3 |$, and the line with equation $y = 5 x - 1$.\\
(b) Solve the inequality $| 2 x - 3 | < 5 x - 1$.\\
\hfill \mbox{\textit{Edexcel FP2 2003 Q10 [5]}}