Question 0116

Equations and Inequalities
2016 Paper 1 Question 1 Variant

Question

(a)
Express 11x214x+4x2(4x5){\displaystyle \frac{ 11 x^2 - 14 x + 4 }{ x - 2 } - (4 x - 5)} as a single simplified fraction.
[2]
(b)
Hence without using a calculator, solve the inequality
11x214x+4x2>4x5\frac{ 11 x^2 - 14 x + 4 }{ x - 2 } > 4 x - 5
[3]

Answer