| Exam Board | Edexcel |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Topic | Inequalities |
| Type | Combined linear and quadratic inequalities |
| Difficulty | Moderate -0.8 This is a straightforward C1 inequalities question requiring basic algebraic manipulation for part (a), factorising and solving a quadratic inequality for part (b), and finding the intersection of solution sets for part (c). All techniques are routine for this level with no problem-solving insight needed, making it easier than average but not trivial due to the quadratic factorisation step. |
| Spec | 1.02g Inequalities: linear and quadratic in single variable |
Find the set of values for $x$ for which
\begin{enumerate}[label=(\alph*)]
\item $6x - 7 < 2x + 3$, [2]
\item $2x^2 - 11x + 5 < 0$, [4]
\item both $6x - 7 < 2x + 3$ and $2x^2 - 11x + 5 < 0$. [1]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C1 Q25 [7]}}