CAIE P2 2019 June — Question 2

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2019
SessionJune
TopicModulus function

2
  1. Solve the inequality \(| 3 x - 5 | < | x + 3 |\).
  2. Hence find the greatest integer \(n\) satisfying the inequality \(\left| 3 ^ { 0.1 n + 1 } - 5 \right| < \left| 3 ^ { 0.1 n } + 3 \right|\).