CAIE P2 2020 June — Question 4

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

4
  1. Sketch, on the same diagram, the graphs of \(y = | 3 x + 2 a |\) and \(y = | 3 x - 4 a |\), where \(a\) is a positive constant. Give the coordinates of the points where each graph meets the axes.
  2. Find the coordinates of the point of intersection of the two graphs.
  3. Deduce the solution of the inequality \(| 3 x + 2 a | < | 3 x - 4 a |\).