Question 0118

Equations and Inequalities

2018 Paper 1 Question 4 Variant

Question

(i)

Find the exact roots of the equation

|2 x^2 - 2 x - 9| = 9 - 2 x

[4]

(ii)

On the same axes, sketch the curves with equations

{y=|2 x^2 - 2 x - 9|}

and

{y=9 - 2 x.}

Hence solve the inequality

|2 x^2 - 2 x - 9| < 9 - 2 x.

[4]