Answer
The graph is shown below.
Work Step by Step
The given inequality is
$x\lt 2$
Graph $x=2$.
Use a dashed line because the inequality symbol is $ \lt$.
Test $(0,0)$.
$\Rightarrow x\lt2$
$\Rightarrow 0\lt2$
True.
Hence, $(0,0)$ is a solution, shade the half-plane that contains $(0,0)$.