| Exam Board | Edexcel |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | 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 the linear inequality and factorization for the quadratic. Part (c) simply combines the two results. All techniques are routine with no problem-solving insight needed, making it easier than average but not trivial since it requires correct handling of quadratic inequalities. |
| Spec | 1.02g Inequalities: linear and quadratic in single variable |
| Answer | Marks | Guidance |
|---|---|---|
| (a) \(5x > 15\) | M1 | |
| \(x > 3\) | A1 | |
| (b) \((x+2)(x-8) < 0\) | M1 | |
| M1 | ||
| \(-2 < x < 8\) | A1 | |
| (c) \(3 < x < 8\) | B1 | (6) |
**(a)** $5x > 15$ | M1 |
$x > 3$ | A1 |
**(b)** $(x+2)(x-8) < 0$ | M1 |
| M1 |
$-2 < x < 8$ | A1 |
**(c)** $3 < x < 8$ | B1 | (6)Find the set of values of $x$ for which
\begin{enumerate}[label=(\alph*)]
\item $6x - 11 > x + 4$, [2]
\item $x^2 - 6x - 16 < 0$, [3]
\item both $6x - 11 > x + 4$ and $x^2 - 6x - 16 < 0$. [1]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C1 Q4 [6]}}