Answer
Please see the graph.
Work Step by Step
$x^2/25 + y^2/4 \geq 1$
Since the graph has a greater than or equal to sign, we use a solid line for the graph.
We pick a point to determine what side of the graph to shade—we pick $(2,2)$.
$x^2/25 + y^2/4 \geq 1$
$2^2/25 + 2^2/4 \geq 1$
$4/25 + 4/4 \geq 1$
$29/25 \geq1$ (true)
We shade the side of the graph with the point.