| Exam Board | OCR MEI |
|---|---|
| Module | Paper 3 (Paper 3) |
| Year | 2020 |
| Session | November |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Modulus function |
| Type | Solve |linear| > constant (greater than) |
| Difficulty | Moderate -0.8 This is a straightforward modulus inequality requiring students to either read from the given graph where y > 0, or solve algebraically by splitting into two cases (1-x > 2 or 1-x < -2). The graph is provided as a visual aid, making it easier than a purely algebraic approach. This is simpler than average A-level work. |
| Spec | 1.02g Inequalities: linear and quadratic in single variable1.02l Modulus function: notation, relations, equations and inequalities |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Marks | Guidance |
| Attempt to find where graph crosses \(x\)-axis | M1 | E.g. \(x=-1\) or \(x=3\) seen, or \((1-x)^2 > 2^2\) |
| Both \(x=-1\) and \(x=3\) seen | A1 | May be in final answer |
| \(x < -1\) or \(x > 3\) OE | B2 | B1 if equals included in inequalities but otherwise correct (both inequalities needed for B1 or B2). Allow (comma) for 'or' but do not allow 'and' |
## Question 2:
| Answer | Marks | Guidance |
|--------|-------|----------|
| Attempt to find where graph crosses $x$-axis | M1 | E.g. $x=-1$ or $x=3$ seen, or $(1-x)^2 > 2^2$ |
| Both $x=-1$ and $x=3$ seen | A1 | May be in final answer |
| $x < -1$ or $x > 3$ OE | B2 | **B1** if equals included in inequalities but otherwise correct (both inequalities needed for B1 or B2). Allow (comma) for 'or' but do not allow 'and' |
---2 The graph of $y = | 1 - x | - 2$ is shown in Fig. 2.
\begin{figure}[h]
\begin{center}
\includegraphics[alt={},max width=\textwidth]{a13f7a05-e2d3-4354-a0c7-ef7283eff514-04_625_1102_794_242}
\captionsetup{labelformat=empty}
\caption{Fig. 2}
\end{center}
\end{figure}
Determine the set of values of $x$ for which $| 1 - x | > 2$.
\hfill \mbox{\textit{OCR MEI Paper 3 2020 Q2 [4]}}