See graph and explanations.
Work Step by Step
Step 1. Graph the circle $(x+2)^2+(y-1)^2=16$; as the inequality does not include an equal sign, make this circle dashed. Step 2. Using a test point away from the boundary, such as $(0,0)$, we have $0\lt16$, which is true; thus the side with this test point should be shaded as shown in the figure.