15 The diagram shows the line \(y = 5 - x\)
\includegraphics[max width=\textwidth, alt={}, center]{99b03f18-6dd6-437d-8b01-009ca7ab49ea-18_1255_1125_349_440}
15
- On the diagram above, sketch the graph of \(y = \left| x ^ { 2 } - 4 x \right|\), including all parts of the graph where it intersects the line \(y = 5 - x\)
(You do not need to show the coordinates of the points of intersection.)
15 - Find the solution of the inequality
$$\left| x ^ { 2 } - 4 x \right| > 5 - x$$
Give your answer in an exact form.
[0pt]
[4 marks]