Question 0116

Equations and Inequalities
2016 Paper 1 Question 1 Variant

Question

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

Answer