OCR C1 — Question 3 5 marks

Exam BoardOCR
ModuleC1 (Core Mathematics 1)
Marks5
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicInequalities
TypeCombined linear and quadratic inequalities
DifficultyModerate -0.8 This is a straightforward two-part inequality question testing basic algebraic manipulation (linear inequality) and factorising a quadratic. Both are routine C1 techniques with no problem-solving required—students simply apply standard methods. The linear inequality is trivial, and the quadratic factors easily to (x-8)(x+2), making this easier than average.
Spec1.02g Inequalities: linear and quadratic in single variable

Find the set of values of \(x\) for which
  1. \(6x - 11 > x + 4\), [2]
  2. \(x^2 - 6x - 16 < 0\). [3]

Find the set of values of $x$ for which
\begin{enumerate}[label=(\roman*)]
\item $6x - 11 > x + 4$, [2]
\item $x^2 - 6x - 16 < 0$. [3]
\end{enumerate}

\hfill \mbox{\textit{OCR C1  Q3 [5]}}