OCR PURE — Question 2 3 marks

Exam BoardOCR
ModulePURE
Marks3
PaperDownload PDF ↗
TopicInequalities
TypeWrite inequalities from graph
DifficultyEasy -1.2 This question requires reading a graph and writing down two inequalities (one for the line, one for the parabola) by identifying which side of each boundary defines region R. It's a straightforward visual interpretation task with minimal calculation, testing only basic understanding of inequality notation and graph reading—significantly easier than average A-level questions.
Spec1.02h Express solutions: using 'and', 'or', set and interval notation1.02i Represent inequalities: graphically on coordinate plane
2 \includegraphics[max width=\textwidth, alt={}, center]{31b0d5b6-1593-489b-bbcd-486e7c96ff18-03_835_545_749_244} The diagram shows the line \(y = - 2 x + 4\) and the curve \(y = x ^ { 2 } - 4\). The region \(R\) is the unshaded region together with its boundaries. Write down the inequalities that define \(R\).
Question 2:
AnswerMarks Guidance
\(y \leq -2x + 4\)B1 (AO 1.1) SC All 3 but with (correct) strict inequalities B2
\(y \geq x^2 - 4\)B1 (AO 1.1)
\(x \geq 0\)B1 (AO 1.1) Only 2 but with (correct) strict inequalities B1
Total: [3]
## Question 2:

$y \leq -2x + 4$ | B1 (AO 1.1) | SC All 3 but with (correct) strict inequalities **B2**

$y \geq x^2 - 4$ | B1 (AO 1.1) |

$x \geq 0$ | B1 (AO 1.1) | Only 2 but with (correct) strict inequalities **B1**

**Total: [3]**

---
2\\
\includegraphics[max width=\textwidth, alt={}, center]{31b0d5b6-1593-489b-bbcd-486e7c96ff18-03_835_545_749_244}

The diagram shows the line $y = - 2 x + 4$ and the curve $y = x ^ { 2 } - 4$. The region $R$ is the unshaded region together with its boundaries.

Write down the inequalities that define $R$.

\hfill \mbox{\textit{OCR PURE  Q2 [3]}}
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