IAL 2022 June Q2

(a) Use algebra to determine the set of values of $x$ for which

\begin{align*} x - 5 <\,& \frac{9}{x + 3}\\[2mm] \end{align*}

(6)

(b) Hence, or otherwise, determine the set of values of $x$ for which

\begin{align*} x - 5 <\,& \frac{9}{|x + 3|}\\[2mm] \end{align*}

(2)