CAIE P2 2020 November — Question 3

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2020
SessionNovember
TopicModulus function

3
  1. Sketch, on a single diagram, the graphs of \(y = \left| \frac { 1 } { 2 } x - a \right|\) and \(y = \frac { 3 } { 2 } x - \frac { 1 } { 2 } a\), where \(a\) is a positive constant.
  2. Find the coordinates of the point of intersection of the two graphs.
  3. Deduce the solution of the inequality \(\left| \frac { 1 } { 2 } x - a \right| > \frac { 3 } { 2 } x - \frac { 1 } { 2 } a\).