Question 0116

Equations and Inequalities
2016 Paper 1 Question 1 Variant

Question

(a)
Express 6x211x+4x4(3x1){\displaystyle \frac{ 6 x^2 - 11 x + 4 }{ x - 4 } - (3 x - 1)} as a single simplified fraction.
[2]
(b)
Hence without using a calculator, solve the inequality
6x211x+4x4>3x1\frac{ 6 x^2 - 11 x + 4 }{ x - 4 } > 3 x - 1
[3]

Answer