# Chapter 1 - Section 1.8 - Inequalities - 1.8 Exercises: 93

$|x-7|\ge 5$

#### Work Step by Step

RECALL: The expression $|x-a|$ represents the distance of a real number $x$ from $a$. Thus, the expression $|x-7|$ represents the distance of the real number $x$ from $7$. Therefore, the expression $|x-7|\ge 5$ means: "the distance of a real number $x$ from $7$ is at least 5 units" (refer to the image below for the graph)

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