Answer
$x\geq0$
$x\leq15$
$y\leq15$
$y\geq x$
$y\leq-x+50$
Work Step by Step
There are two vertical lines: x=0 and x=15
The area is to the right of x=0, so $x\geq0$. It is to the left of x=15, so $x\leq15$.
There is one horizontal line: y=15.
The area is over y=15, so $y\geq15$.
There are two linear functions. One has a slope of $m=\frac{20-15}{20-15}=\frac{5}{5}=1$ and a y-intercept of (0,0). The area is over that line, so $y\geq x$.
The other linear function has a slope of $m=\frac{30-50}{20-0}=\frac{-20}{20}=1$ and a y-intercept of (0,50). The area is under that line, so $y\leq-x+50$.
