Question 0116

Equations and Inequalities
2016 Paper 1 Question 1 Variant

Question

(a)
Express 7x2+6x34x+5(x4){\displaystyle \frac{ 7 x^2 + 6 x - 34 }{ x + 5 } - (x - 4)} as a single simplified fraction.
[2]
(b)
Hence without using a calculator, solve the inequality
7x2+6x34x+5>x4\frac{ 7 x^2 + 6 x - 34 }{ x + 5 } > x - 4
[3]

Answer