Edexcel FP1 2021 June — Question 3

Exam BoardEdexcel
ModuleFP1 (Further Pure Mathematics 1)
Year2021
SessionJune
TopicInequalities

3. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{55803551-f13d-419f-8b51-31642bd20b6a-08_494_780_258_644} \captionsetup{labelformat=empty} \caption{Figure 1}
\end{figure} Figure 1 shows a sketch of the curve with equation \(y = \mathrm { f } ( x )\) where $$f ( x ) = \frac { x } { | x | - 2 }$$ Use algebra to determine the values of \(x\) for which $$2 x - 5 > \frac { x } { | x | - 2 }$$