| Exam Board | Edexcel |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 8 |
| Paper | Download PDF ↗ |
| Topic | Inequalities |
| Type | Combined linear and quadratic inequalities |
| Difficulty | Moderate -0.8 This is a straightforward C1 inequality question requiring routine algebraic manipulation (linear inequality), factorizing a quadratic, and combining solution sets. All techniques are standard with no conceptual challenges, making it easier than average but not trivial due to the multi-part structure and need for careful set notation. |
| Spec | 1.02g Inequalities: linear and quadratic in single variable |
Find the set of values of $x$ for which
\begin{enumerate}[label=(\alph*)]
\item $3(2x + 1) > 5 - 2x$, [2]
\item $2x^2 - 7x + 3 > 0$, [4]
\item both $3(2x + 1) > 5 - 2x$ and $2x^2 - 7x + 3 > 0$. [2]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C1 Q6 [8]}}