Question 0116

Equations and Inequalities
2016 Paper 1 Question 1 Variant

Question

(a)
Express 8x2+15x+12x+4(5x+2){\displaystyle \frac{ 8 x^2 + 15 x + 12 }{ x + 4 } - (5 x + 2)} as a single simplified fraction.
[2]
(b)
Hence without using a calculator, solve the inequality
8x2+15x+12x+4<5x+2\frac{ 8 x^2 + 15 x + 12 }{ x + 4 } < 5 x + 2
[3]

Answer