OCR MEI C1 — Question 6 3 marks

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
Marks3
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicInequalities
TypeInteger solutions to inequalities
DifficultyEasy -1.8 This is a straightforward two-inequality problem requiring only basic algebraic manipulation (solving 2x < 9 and x ≥ 2) and listing integers in the overlap. It's simpler than typical A-level questions as it involves minimal steps, no complex reasoning, and is purely procedural recall of inequality solving techniques.
Spec1.02g Inequalities: linear and quadratic in single variable1.02h Express solutions: using 'and', 'or', set and interval notation
6 List the integers which satisfy both of the following inequalities: $$2 x - 9 < 0 , \quad 8 - x \leq 6$$
Question 6:
AnswerMarks Guidance
\(2x - 9 < 0 \Rightarrow x < 4.5\)M1 Solving either inequality
\(8 - x \leq 6 \Rightarrow x \geq 2\)A1 Each answer
\(\Rightarrow x = \{2, 3, 4\}\)A1 Complete set (0 if any extra values). Total: 3 
# Question 6:
$2x - 9 < 0 \Rightarrow x < 4.5$ | M1 | Solving either inequality
$8 - x \leq 6 \Rightarrow x \geq 2$ | A1 | Each answer
$\Rightarrow x = \{2, 3, 4\}$ | A1 | Complete set (0 if any extra values). **Total: 3**

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6 List the integers which satisfy both of the following inequalities:

$$2 x - 9 < 0 , \quad 8 - x \leq 6$$

\hfill \mbox{\textit{OCR MEI C1  Q6 [3]}}
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Q1 3 Q2 4 Q3 3 Q4 5 Q5 5 Q6 3 Q7 5 Q8 3 Q9 5 Q10 12 Q11 12 Q12 12