OCR MEI C1 — Question 5 3 marks

Exam BoardOCR MEI
ModuleC1 (Core Mathematics 1)
Marks3
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicInequalities
TypeSolve linear inequality
DifficultyEasy -1.8 This is a straightforward linear inequality requiring only basic algebraic manipulation: expand brackets, collect like terms, and divide. It's a routine procedural question with no problem-solving element, significantly easier than average A-level content.
Spec1.02g Inequalities: linear and quadratic in single variable

5 Solve the inequality \(6 ( x + 3 ) > 2 x + 5\).

Question 5:
AnswerMarks Guidance
AnswerMarks Guidance
\(x > -13/4\) o.e. isw www3 M1 for \(13 > -4x\) (may be followed by \(13/-4 > x\), which earns no further credit); M2 for \(4x > -13\) or M1 for one side of this correct with correct inequality, and B1 for final step ft from their \(ax > b\) or \(c > dx\) for \(a \neq 1\) and \(d \neq 1\); condone \(x > 13/-4\) or \(13/-4 < x\); \(6x+3 > 2x+5\) is an error not an MR; can get M1 for \(4x > \ldots\) following this, and then a possible B1; if no working shown, allow SC1 for \(-13/4\) oe with equals sign or wrong inequality
## Question 5:

| Answer | Marks | Guidance |
|--------|-------|----------|
| $x > -13/4$ o.e. isw www | 3 | M1 for $13 > -4x$ (may be followed by $13/-4 > x$, which earns no further credit); M2 for $4x > -13$ or M1 for one side of this correct with correct inequality, and B1 for final step ft from their $ax > b$ or $c > dx$ for $a \neq 1$ and $d \neq 1$; condone $x > 13/-4$ or $13/-4 < x$; $6x+3 > 2x+5$ is an error not an MR; can get M1 for $4x > \ldots$ following this, and then a possible B1; if no working shown, allow SC1 for $-13/4$ oe with equals sign or wrong inequality |

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5 Solve the inequality $6 ( x + 3 ) > 2 x + 5$.

\hfill \mbox{\textit{OCR MEI C1  Q5 [3]}}