| Exam Board | OCR MEI |
|---|---|
| Module | FP1 (Further Pure Mathematics 1) |
| Year | 2009 |
| Session | June |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Inequalities |
| Type | Rational inequality algebraically |
| Difficulty | Standard +0.3 This is a straightforward rational inequality requiring standard algebraic manipulation (bringing to one side, common denominator, finding critical points) and sign analysis. While it's FP1, the technique is accessible and methodical with no novel insight required, making it slightly easier than average. |
| Spec | 1.02g Inequalities: linear and quadratic in single variable1.02n Sketch curves: simple equations including polynomials |
3 (i) Sketch the graph of $y = \frac { 2 } { x + 4 }$.\\
(ii) Solve the inequality
$$\frac { 2 } { x + 4 } \leqslant x + 3$$
showing your working clearly.
\hfill \mbox{\textit{OCR MEI FP1 2009 Q3 [7]}}