- (a) Use algebra to find the exact solutions of the equation
$$\left| 2 x ^ { 2 } + 6 x - 5 \right| = 5 - 2 x$$
(b) On the same diagram, sketch the curve with equation \(y = \left| 2 x ^ { 2 } + 6 x - 5 \right|\) and the line with equation \(y = 5 - 2 x\), showing the \(x\)-coordinates of the points where the line crosses the curve.
(c) Find the set of values of \(x\) for which
$$\left| 2 x ^ { 2 } + 6 x - 5 \right| > 5 - 2 x$$