Answer
Please see the graph.
Work Step by Step
$x^2/4 + y^2/9 \geq 1$
This is the equation of an ellipse, and we pick the point $(0,0)$ to determine whether to shade inside or outside the ellipse. Since we have a greater than or equal sign, we use a solid line.
$x^2/4 + y^2/9 \geq 1$
$0^2/4 + 0^2/9 \geq 1$
$0/4 + 0/9 \geq 1$
$0 + 0 \geq 1$
$0 \geq 1$ (false, so we shade outside the ellipse)
