Question 0116

Equations and Inequalities
2016 Paper 1 Question 1 Variant

Question

(a)
Express 7x24x6x1(4x2){\displaystyle \frac{ 7 x^2 - 4 x - 6 }{ x - 1 } - (4 x - 2)} as a single simplified fraction.
[2]
(b)
Hence without using a calculator, solve the inequality
7x24x6x1<4x2\frac{ 7 x^2 - 4 x - 6 }{ x - 1 } < 4 x - 2
[3]

Answer