| Exam Board | Edexcel |
|---|---|
| Module | FP2 (Further Pure Mathematics 2) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Topic | Modulus function |
| Type | Sketch y=|linear| and y=linear, solve inequality: numeric coefficients |
| Difficulty | Moderate -0.8 This is a straightforward modulus inequality question requiring basic sketching and algebraic manipulation. Part (a) involves sketching a simple V-shaped modulus graph and a linear function. Part (b) requires splitting into two cases (2x-3 when positive/negative) and solving linear inequalities - a standard technique taught early in FP2 with no conceptual challenges or multi-step reasoning beyond the routine method. |
| Spec | 1.02g Inequalities: linear and quadratic in single variable1.02l Modulus function: notation, relations, equations and inequalities1.02t Solve modulus equations: graphically with modulus function |
\begin{enumerate}[label=(\alph*)]
\item Sketch, on the same axes, the graphs with equation $y = |2x - 3|$, and the line with equation $y = 5x - 1$. [2]
\item Solve the inequality $|2x - 3| < 5x - 1$. [3]
\end{enumerate}
\hfill \mbox{\textit{Edexcel FP2 Q13 [5]}}