CAIE P2 2017 November — Question 3

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2017
SessionNovember
TopicInequalities

3 It is given that the variable \(x\) is such that $$1.3 ^ { 2 x } < 80 \quad \text { and } \quad | 3 x - 1 | > | 3 x - 10 | .$$ Find the set of possible values of \(x\), giving your answer in the form \(a < x < b\) where the constants \(a\) and \(b\) are correct to 3 significant figures.