OCR MEI C1 — Question 2 3 marks

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
Marks3
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicInequalities
TypeSolve quadratic inequality
DifficultyEasy -1.2 This is a straightforward quadratic inequality requiring factorization to (x-2)(x-3)≤0 and identifying the interval [2,3]. It's a standard C1 exercise with routine steps and no problem-solving insight needed, making it easier than average but not trivial since students must understand inequality sign behavior.
Spec1.02g Inequalities: linear and quadratic in single variable

2 Find the range of values of \(x\) for which \(x ^ { 2 } - 5 x + 6 \leq 0\).

Question 2:
AnswerMarks Guidance
\(x^2-5x+6 \leq 0 \Rightarrow (x-3)(x-2) \leq 0\)M1
A1
\(\Rightarrow 2 \leq x \leq 3\)A1 Total: 3
## Question 2:
$x^2-5x+6 \leq 0 \Rightarrow (x-3)(x-2) \leq 0$ | M1 |
| A1 |
$\Rightarrow 2 \leq x \leq 3$ | A1 | **Total: 3**

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2 Find the range of values of $x$ for which $x ^ { 2 } - 5 x + 6 \leq 0$.

\hfill \mbox{\textit{OCR MEI C1  Q2 [3]}}