Answer
Please see the graph.
Work Step by Step
Black line: $x^{2}+y^{2}\le9$
Orange line: $x^{2}+y^{2}\ge1$
$x^{2}+y^{2}\le9$
This equation is similar to $x^{2}+y^{2}=9$, which is the equation for a circle with radius 3. If a point is part of the solution set, then it is inside this circle.
$x^{2}+y^{2}\ge1$
This equation is similar to $x^{2}+y^{2}=1$, which is the equation for a circle with radius 3. If a point is part of the solution set, then it is outside this circle.
The solution set of the system is outside of the smaller circle but inside the larger circle.