Question 0116

Equations and Inequalities
2016 Paper 1 Question 1 Variant

Question

(a)
Express 8x2+4xx+15x{\displaystyle \frac{ 8 x^2 + 4 x }{ x + 1 } - 5 x} as a single simplified fraction.
[2]
(b)
Hence without using a calculator, solve the inequality
8x2+4xx+1<5x\frac{ 8 x^2 + 4 x }{ x + 1 } < 5 x
[3]

Answer