| Exam Board | Edexcel |
|---|---|
| Module | FP2 (Further Pure Mathematics 2) |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Modulus function |
| Type | Sketch modulus of linear and non-modulus linear, find intersection |
| Difficulty | Moderate -0.8 This is a straightforward modulus question requiring standard techniques: sketching a V-shaped graph and a line, finding intersections algebraically by considering two cases (3x-1 and -(3x-1)), then solving a simple inequality. While it's Further Maths content, the methods are routine and mechanical with no novel insight required, making it easier than average A-level questions. |
| Spec | 1.02l Modulus function: notation, relations, equations and inequalities1.02s Modulus graphs: sketch graph of |ax+b| |
\begin{enumerate}
\item (a) Sketch, on the same axes, the graph with equation $y = | 3 x - 1 |$, and the line with equation $y = 4 x + 3$.
\end{enumerate}
Show the coordinates of the points at which the graphs meet the $x$-axis.\\
(b) Solve the inequality $| 3 x - 1 | < 4 x + 3$.\\
\hfill \mbox{\textit{Edexcel FP2 Q1 [6]}}