6. Given that \(a\) and \(b\) are constants and that \(a > b > 0\)
- on separate diagrams, sketch the graph with equation
- \(y = | x - a |\)
- \(y = | x - a | - b\)
Show on each sketch the coordinates of each point at which the graph crosses or meets the \(x\)-axis and the \(y\)-axis.
- Hence or otherwise find the complete set of values of \(x\) for which
$$| x - a | - b < \frac { 1 } { 2 } x$$
giving your answer in terms of \(a\) and \(b\).