Question 0116

Equations and Inequalities
2016 Paper 1 Question 1 Variant

Question

(a)
Express 10x215x+2x2(3x1){\displaystyle \frac{ 10 x^2 - 15 x + 2 }{ x - 2 } - (3 x - 1)} as a single simplified fraction.
[2]
(b)
Hence without using a calculator, solve the inequality
10x215x+2x2<3x1\frac{ 10 x^2 - 15 x + 2 }{ x - 2 } < 3 x - 1
[3]

Answer