Answer
$y \geq -x+4$ and $y \geq \dfrac{-x}{4}+2$
Work Step by Step
We can see that all lined borders are solid, which corresponds to the right of the y-axis.
This means that the inequality describing the region is: $x \geq 0$
Based on the shaded region and the border lines, we find:
$y \geq -x+4$ and $y \geq \dfrac{-x}{4}+2$
