## Precalculus (6th Edition)

Published by Pearson

# Chapter 1 - Equations and Inequalities - 1.8 Absolute Value Equations and Inequalities - 1.8 Exercises: 70

#### Answer

$|z-4| \ge 5$

#### Work Step by Step

RECALL: $|a-b|$ represents the distance between the real numbers $a$ and $b$. Thus, the distance between $z$ and $4$ is represented by $|z-4|$. Since the distance is no less than $5$ units, then the required inequality is: $|z-4| \ge 5$

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