Answer
Please see the graph.
Work Step by Step
Green line: $x-y<3$
$x-y<3$
$x-y+y-3 < 3 +y-3$
$x-3 < y$
Since we have the "less than" sign, we use a dotted line. Let's use the point $(0,0)$ to see what side of the line we shade.
$x-34$
Since we have the "greater than" sign, we use a dotted line. Let's use the point $(0,0)$ to see what side of the line we shade.
$x>4$
$0>4$ (false)
Since this is false, we shade the side of the line that doesn't have the point $(0,0)$.
The union of the two lines is the area that is shaded red or green.