## Algebra and Trigonometry 10th Edition

$y \geq -x+4$ and $y \geq \dfrac{-x}{4}+2$
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 $y \geq \dfrac{-x}{4}+2$