CAIE P2 2017 March — Question 3

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2017
SessionMarch
TopicModulus function

3
  1. Solve the inequality \(| 2 x - 5 | < | x + 3 |\).
  2. Hence find the largest integer \(y\) satisfying the inequality \(| 2 \ln y - 5 | < | \ln y + 3 |\).