Question 0116

Equations and Inequalities
2016 Paper 1 Question 1 Variant

Question

(a)
Express 2x213x3x5(x1){\displaystyle \frac{ 2 x^2 - 13 x - 3 }{ x - 5 } - (x - 1)} as a single simplified fraction.
[2]
(b)
Hence without using a calculator, solve the inequality
2x213x3x5<x1\frac{ 2 x^2 - 13 x - 3 }{ x - 5 } < x - 1
[3]

Answer