Answer
Please see the graph.
Work Step by Step
$x^2+y^2 > 4$
Since the graph has a greater than sign, we use a dotted line for the graph.
We pick a point to determine what side of the graph to shade—we pick $(2,2)$.
$x^2+y^2 > 4$
$2^2+2^2 > 4$
$4+4 >4$
$8 > 4$ (true)
We shade the side of the graph with the point.