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 -1.2 This is a straightforward linear inequality requiring basic algebraic manipulation (expanding brackets, collecting terms) followed by identifying positive integer solutions. It's simpler than average A-level questions as it involves only routine algebraic steps with no conceptual challenges or multi-step problem-solving.
Spec1.02g Inequalities: linear and quadratic in single variable
6 Find the positive integer values of \(x\) for which $$\frac { 1 } { 2 } ( 26 - 2 x ) \geq 2 ( 3 + x )$$
\(13 - x \geq 6 + 2x \Rightarrow 7 \geq 3x\)
\(\Rightarrow x \leq 2\)
AnswerMarks Guidance
\(\Rightarrow \{1, 2\}\)M1, A1, A1 Condone the inclusion of 0 
$13 - x \geq 6 + 2x \Rightarrow 7 \geq 3x$

$\Rightarrow x \leq 2$

$\Rightarrow \{1, 2\}$ | M1, A1, A1 | Condone the inclusion of 0
6 Find the positive integer values of $x$ for which

$$\frac { 1 } { 2 } ( 26 - 2 x ) \geq 2 ( 3 + x )$$

\hfill \mbox{\textit{OCR MEI C1  Q6 [3]}}
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Q1 2 Q2 3 Q3 3 Q4 3 Q5 3 Q6 3 Q7 5 Q8 5 Q9 4 Q10 5 Q11 12 Q12 12 Q13 12