1 The diagram below shows the graphs of \(y = | 2 x - 3 |\) and \(y = | x |\).
\includegraphics[max width=\textwidth, alt={}, center]{063bbfa5-df49-44a1-8143-5e076397f63f-02_579_1150_351_482}
- Find the \(x\)-coordinates of the points of intersection of the graphs of \(y = | 2 x - 3 |\) and \(y = | x |\).
(3 marks) - Hence, or otherwise, solve the inequality
$$| 2 x - 3 | \geqslant | x |$$
(2 marks)