Edexcel FP2 — Question 5 7 marks

Exam BoardEdexcel
ModuleFP2 (Further Pure Mathematics 2)
Marks7
PaperDownload PDF ↗
TopicInequalities
TypeRational inequality algebraically
DifficultyStandard +0.3 This is a rational inequality requiring students to rearrange to a common denominator, consider sign changes, and find critical points. While it involves case-work for the sign of x, it's a standard FP2 technique with straightforward algebra—slightly above average difficulty due to the sign analysis required, but well within expected competency for Further Maths students.
Spec1.02g Inequalities: linear and quadratic in single variable

Using algebra, find the set of values of \(x\) for which $$2x - 5 > \frac{3}{x}.$$ [7]

Using algebra, find the set of values of $x$ for which
$$2x - 5 > \frac{3}{x}.$$
[7]

\hfill \mbox{\textit{Edexcel FP2  Q5 [7]}}