Answer
Please see the graph.
Work Step by Step
Studying at most 20 hours a week, working at least 10 hours a week
$x$ is for the number of hours studying, and $y$ is the number of hours working
$x\leq20$ (orange line), $y\geq10$ (purple line)
Let's use the point $(0,0)$ to determine what side of the lines to shade.
$x\leq20$
$0\leq20$ (true)
This is true, so we shade the side of the line with the point.
$y \geq10$
$0 \geq 10$ (false)
This is false, so we shade the side of the line that doesn't have the point.
The intersection of the two lines is shaded orange and purple.