Question 0116

Equations and Inequalities
2016 Paper 1 Question 1 Variant

Question

(a)
Express 9x2+16x+27x(5x5){\displaystyle \frac{ 9 x^2 + 16 x + 27 }{ x } - (5 x - 5)} as a single simplified fraction.
[2]
(b)
Hence without using a calculator, solve the inequality
9x2+16x+27x>5x5\frac{ 9 x^2 + 16 x + 27 }{ x } > 5 x - 5
[3]

Answer