| Exam Board | Pre-U |
|---|---|
| Module | Pre-U 9794/1 (Pre-U Mathematics Paper 1) |
| Year | 2016 |
| Session | June |
| Marks | 4 |
| Topic | Inequalities |
| Type | Solve quadratic inequality |
| Difficulty | Easy -1.2 This is a straightforward quadratic inequality requiring factorization (or quadratic formula) to find roots, then determining sign regions. It's a routine A-level skill with no complications—simpler than average since it's a single-step problem with nice integer factors (3x-4)(x+5). |
| Spec | 1.02g Inequalities: linear and quadratic in single variable |
Solve equation to obtain critical points **M1**
Obtain $-5$ and $\frac{4}{3}$ **A1**
Show or imply method to obtain inequality, e.g. graph, table of signs **M1**
State $x < -5$ **or** $x > \frac{4}{3}$ (ft critical points) **A1ft**
**[4]**3 Solve $3 x ^ { 2 } + 11 x - 20 > 0$.
\hfill \mbox{\textit{Pre-U Pre-U 9794/1 2016 Q3 [4]}}