Question 0116

Equations and Inequalities
2016 Paper 1 Question 1 Variant

Question

(a)
Express 4x2+x9x+1(3x3){\displaystyle \frac{ 4 x^2 + x - 9 }{ x + 1 } - (3 x - 3)} as a single simplified fraction.
[2]
(b)
Hence without using a calculator, solve the inequality
4x2+x9x+1<3x3\frac{ 4 x^2 + x - 9 }{ x + 1 } < 3 x - 3
[3]

Answer