Edexcel FP2 — Question 18 6 marks

Exam BoardEdexcel
ModuleFP2 (Further Pure Mathematics 2)
Marks6
PaperDownload PDF ↗
TopicInequalities
TypeRational inequality algebraically
DifficultyStandard +0.8 This is a rational inequality requiring careful consideration of critical points, sign analysis across multiple intervals, and attention to domain restrictions. While the algebraic manipulation is standard FP2 level, the systematic case analysis and correct handling of undefined points elevates this above routine exercises, making it moderately challenging but within expected FP2 scope.
Spec1.02g Inequalities: linear and quadratic in single variable1.02k Simplify rational expressions: factorising, cancelling, algebraic division

Solve the inequality \(\frac{1}{2x + 1} > \frac{x}{3x - 2}\). [6]

Solve the inequality $\frac{1}{2x + 1} > \frac{x}{3x - 2}$.
[6]

\hfill \mbox{\textit{Edexcel FP2  Q18 [6]}}