Answer
Refer to the graph below.
Work Step by Step
Graph each inequality.
(a) To graph $x^2+y^2\gt 4$, graph the circle $x^2+y^2=4$ (radius is $2$) then shade the region outside the circle. (Refer to the blue graph below.)
(b) To graph $x^2+y^2\lt 16$, graph the circle $x^2+y^2=16$ (radius is $4$) using broken lines, then shade the region inside the circle. (Refer to the red graph below.)
(c) To graph $y\ge 0$, graph the line $y=0$ (which is the x-axis), then shade the region above it. (Refer to the green graph below.)
The solution to the given system is the region that is common to the three graphs.
Refer to the graph in the answer part above,
