CAIE P2 2023 March — Question 4

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2023
SessionMarch
TopicModulus function

4
  1. Sketch, on the same diagram, the graphs of \(y = | 2 x - 11 |\) and \(y = 3 x - 3\).
  2. Solve the inequality \(| 2 x - 11 | < 3 x - 3\).
  3. Find the smallest integer \(N\) satisfying the inequality \(| 2 \ln N - 11 | < 3 \ln N - 3\).