| Exam Board | AQA |
|---|---|
| Module | Paper 1 (Paper 1) |
| Year | 2020 |
| Session | June |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Modulus function |
| Type | Solve |linear| compared to linear: algebraic only |
| Difficulty | Easy -1.2 This is a straightforward modulus inequality requiring only routine algebraic manipulation: rearrange to |2x-6| < 2, then apply the standard result |expression| < k means -k < expression < k, leading to a simple two-step solution. The sketch in part (a) provides additional scaffolding. This is easier than average A-level content, being a standard textbook exercise with no problem-solving insight required. |
| Spec | 1.02l Modulus function: notation, relations, equations and inequalities1.02s Modulus graphs: sketch graph of |ax+b| |
4
\begin{enumerate}[label=(\alph*)]
\item Sketch the graph of\\
\includegraphics[max width=\textwidth, alt={}, center]{08e1f291-7052-40a5-b7b2-13fd1d0137c2-04_933_1093_349_475}
4
\item Solve the inequality
$$4 - | 2 x - 6 | > 2$$
\end{enumerate}
\hfill \mbox{\textit{AQA Paper 1 2020 Q4 [5]}}