N2023 P2 Q1

Find the set of values of \(x\) for which \(3|x-2|<|5-2x|\).[2]

Express \(\frac{x+25}{x^2-4x-5}+3\) as a single simplified fraction. Hence, without using a calculator, solve exactly the inequality \(\frac{x+25}{x^2-4x-5}>-3\).[4]