Question 0118

Equations and Inequalities

2018 Paper 1 Question 4 Variant

Question

(i)

Find the exact roots of the equation

|x^2 - x - 7| = 7 - 2 x

[4]

(ii)

On the same axes, sketch the curves with equations

{y=|x^2 - x - 7|}

and

{y=7 - 2 x.}

Hence solve the inequality

|x^2 - x - 7| > 7 - 2 x.

[4]