Answer
D
Work Step by Step
Using the origin as a test point, we can see that $y\gt5$ is a false statement ($0 \gt5$) and $x\geq3$ is a false statement ($0\geq 3$).
With $y\gt5$ being false, we would shade below the line $y=5$. With $x\geq3$ being false, we would shade to the left of the line $x=3$.