## Precalculus: Mathematics for Calculus, 7th Edition

$|x-2|\le 4$
RECALL: The expression $|x-a|$ represents the distance of a real number $x$ from $a$. Thus, the expression $|x-2|$ represents the distance of the real number $x$ from $2$. Therefore, the expression $|x-2|\le4$ means: "the distance of a real number $x$ from $2$ is at most 4 units" (refer to the image below for the graph)