| Exam Board | Edexcel |
|---|---|
| Module | FP2 (Further Pure Mathematics 2) |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Topic | Inequalities |
| Type | Rational inequality algebraically |
| Difficulty | Standard +0.3 This is a rational inequality requiring sign analysis and careful handling of critical points where denominators are zero. While it involves multiple steps (rearranging to single fraction, finding critical points x=-3, 0, 4, testing intervals), the technique is standard for FP2 and follows a well-established procedure without requiring novel insight. |
| Spec | 1.02g Inequalities: linear and quadratic in single variable |
Find the set of values of $x$ for which
$$\frac{3}{x+3} > \frac{x-4}{x}.$$ [7]
\hfill \mbox{\textit{Edexcel FP2 Q1 [7]}}