Edexcel FP2 2016 June — Question 1 6 marks

Exam BoardEdexcel
ModuleFP2 (Further Pure Mathematics 2)
Year2016
SessionJune
Marks6
PaperDownload PDF ↗
TopicInequalities
TypeRational inequality algebraically
DifficultyStandard +0.3 This is a standard FP2 rational inequality requiring algebraic manipulation (cross-multiplication with sign consideration or bringing to common denominator), finding critical points, and sign analysis. While it's Further Maths content, the technique is routine and well-practiced, making it slightly easier than average overall but typical for its module.
Spec1.02g Inequalities: linear and quadratic in single variable

  1. Use algebra to find the set of values of \(x\) for which
$$\frac { x } { x + 1 } < \frac { 2 } { x + 2 }$$

\begin{enumerate}
  \item Use algebra to find the set of values of $x$ for which
\end{enumerate}

$$\frac { x } { x + 1 } < \frac { 2 } { x + 2 }$$

\hfill \mbox{\textit{Edexcel FP2 2016 Q1 [6]}}