Answer
$x\geq0$
$x\leq5$
$y\leq6$
$y\geq 0.75x+3$
$y\geq2x-8$
Work Step by Step
There are two vertical lines: x=0 and x=5.
The area is to the right of x=0, so $x\geq0$. It is to the left of x=5, so $x\leq5$.
There is one horizontal line: y=6
The area is under it, so $y\leq6$.
There are two linear functions. One has a slope of $m=\frac{0-3}{4-0}=\frac{3}{4}=0.75$ and a y-intercept of (0,3). The area is over that line, so $y\geq 0.75x+3$.
The other linear function has a slope of $m=\frac{2-0}{5-4}=\frac{2}{1}=2$. To find the y-intercept, we use one of the points and solve for b:
$0=4(2)+b$
$b=-8$
The area is over that line, so $y\geq2x-8$
