OCR PURE — Question 1 2 marks

Exam BoardOCR
ModulePURE
Marks2
PaperDownload PDF ↗
TopicInequalities
TypeSolve quadratic inequality
DifficultyEasy -1.2 This is a straightforward quadratic inequality requiring only identification of critical points (x=2, x=-3) and testing regions or sketching a parabola. It's a standard textbook exercise with minimal steps, easier than average A-level questions which typically involve more techniques or problem-solving.
Spec1.02g Inequalities: linear and quadratic in single variable1.02h Express solutions: using 'and', 'or', set and interval notation

1 Write the solution of the inequality \(( x - 2 ) ( x + 3 ) > 0\) using set notation.

Question 1:
AnswerMarks Guidance
AnswerMarks Guidance
Critical values of \(x\) are \(2, -3\)B1 Possibly seen in solution using set notation
\(\{x : x < -3\} \cup \{x : x > 2\}\)B1ft Follow through on their two critical values of \(x\); \(\pm2, \pm3\) only; curly brackets only; with this notation only
Total: [2]
## Question 1:

| Answer | Marks | Guidance |
|--------|-------|----------|
| Critical values of $x$ are $2, -3$ | **B1** | Possibly seen in solution using set notation |
| $\{x : x < -3\} \cup \{x : x > 2\}$ | **B1ft** | Follow through on their two critical values of $x$; $\pm2, \pm3$ only; curly brackets only; with this notation only |

**Total: [2]**

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1 Write the solution of the inequality $( x - 2 ) ( x + 3 ) > 0$ using set notation.

\hfill \mbox{\textit{OCR PURE  Q1 [2]}}