Question 0116

Equations and Inequalities
2016 Paper 1 Question 1 Variant

Question

(a)
Express 3x2+14x+17x+4(x+5){\displaystyle \frac{ 3 x^2 + 14 x + 17 }{ x + 4 } - (x + 5)} as a single simplified fraction.
[2]
(b)
Hence without using a calculator, solve the inequality
3x2+14x+17x+4<x+5\frac{ 3 x^2 + 14 x + 17 }{ x + 4 } < x + 5
[3]

Answer