Question 0116

Equations and Inequalities
2016 Paper 1 Question 1 Variant

Question

(a)
Express 3x2+4x20x+5(2x4){\displaystyle \frac{ 3 x^2 + 4 x - 20 }{ x + 5 } - (2 x - 4)} as a single simplified fraction.
[2]
(b)
Hence without using a calculator, solve the inequality
3x2+4x20x+5<2x4\frac{ 3 x^2 + 4 x - 20 }{ x + 5 } < 2 x - 4
[3]

Answer