Answer
The graph is shown below.
Work Step by Step
The given inequality is
$x-2y\lt0$
Graph $x-2y=0$. Use a dashed line because the inequality symbol is $ \lt$.
Test $(1,-1)$.
$\Rightarrow x-2y\lt 0$
$\Rightarrow 1-2(-1)\lt0$
$\Rightarrow 1+2\lt0$
$\Rightarrow 3\lt0$
Hence, $(1,-1)$ is not a solution, shade the half-plane that does not contain $(1,-1)$.
