| Exam Board | Edexcel |
|---|---|
| Module | C1 (Core Mathematics 1) |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Inequalities |
| Type | Solve quadratic inequality |
| Difficulty | Moderate -0.8 This is a straightforward quadratic inequality requiring rearrangement to standard form, factorization (or quadratic formula), and identification of the solution interval. It's a routine C1 exercise with standard technique application, making it easier than average but not trivial since it requires multiple steps and understanding of inequality solution sets. |
| Spec | 1.02g Inequalities: linear and quadratic in single variable |
| Answer | Marks | Guidance |
|---|---|---|
| \(2x^2 + x - 6 \leq 0\) factorises to \((2x - 3)(x + 2) \leq 0\) | M1 | |
| Critical values: \(-2, \frac{3}{2}\) | A1 | |
| Sketch showing parabola through these values | M1 | |
| \(-2 \leq x \leq \frac{3}{2}\) | A1 | (4) |
$2x^2 + x - 6 \leq 0$ factorises to $(2x - 3)(x + 2) \leq 0$ | M1 |
Critical values: $-2, \frac{3}{2}$ | A1 |
Sketch showing parabola through these values | M1 |
$-2 \leq x \leq \frac{3}{2}$ | A1 | (4)\begin{enumerate}
\item Solve the inequality
\end{enumerate}
$$x ( 2 x + 1 ) \leq 6 .$$
\hfill \mbox{\textit{Edexcel C1 Q2 [4]}}