Answer
Please see the graph.
Work Step by Step
$x^2 +y^2 <9$
This inequality is for a circle with radius 3. We pick the point $(0,0)$ to determine to shade inside the circle or outside the circle. Since we have a less than sign, we use a dotted line.
$x^2 +y^2 <9$
$0^2 +0^2 <9$
$0 + 0 < 9$
$0 < 9$ (true, so we shade inside the circle)
