## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$|x-7|\lt2$
The expression, $|x-a|\lt b,$ means the distance of $x$ from $a$ is less than $b$ units. Hence, the given description, "$x$ is less than 2 units from $7$," in symbols, is equivalent to \begin{array}{l}\require{cancel} |x-7|\lt2 .\end{array}