## Algebra and Trigonometry 10th Edition

Published by Cengage Learning

# Chapter 9 - 9.5 - Systems of Inequalities - 9.5 Exercises - Page 678: 52

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

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