Answer
Please see the graph.
Work Step by Step
Green line: $2x-y>3$
$2x-y>3$
$2x-y+y-3>3+y-3$
$2x-3 > y$
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.
$2x-3 > y$
$2*0-3 > 0$
$0-3 > 0$
$-3 > 0$ (false)
Since this is false, we shade the side of the line that doesn't have the point (0,0).
Red line: $x>0$
Since we have the "greater than or equal to" sign, we use a solid line. Let's use the point (1,1) to see what side of the line we shade.
$x>0$
$1≥0$ (true)
Since this is true, we shade the side of the line that has the point (0,0).
The union of the two lines is the area that is shaded red or green.