Question 0118

Equations and Inequalities

2018 Paper 1 Question 4 Variant

Question

(i)

Find the exact roots of the equation

|2 x^2 + 9 x - 4| = 4 - 3 x

[4]

(ii)

On the same axes, sketch the curves with equations

{y=|2 x^2 + 9 x - 4|}

and

{y=4 - 3 x.}

Hence solve the inequality

|2 x^2 + 9 x - 4| < 4 - 3 x.

[4]