EITHER: State or imply non-modular inequality ${\left( {x - 3} \right)^2} > {\left( {2\left( {x + 1} \right)} \right)^2}$, or corresponding quadratic equation, or pair of linear equations $\left( {x - 3} \right) =  \pm 2\left( {x + 1} \right)$

Make reasonable solution attempt at a 3-term quadratic, or solve two linear equations Obtain critical values $ - 5$ and $\frac{1}{3}$

State answer $ - 5 \lt x \lt \frac{1}{3}$

OR: Obtain the critical value $x =  - 5$ from a graphical method, or by inspection, or by solving a linear equation or inequality

Obtain the critical value $x = \frac{1}{3}$ similarly

State answer $ - 5 \lt x \lt \frac{1}{3}$

[Do not condone $ \leqslant $ for $ \lt $; accept $0.33$ for $\frac{1}{3}$.]