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

$|x|\le10$
$\bf{\text{Solution Outline:}}$ Use the concept of inequality and absolute value to translate the given description, \begin{array}{l}\require{cancel} \text{the distance from $x$ to $0$ is no more than $10$} ,\end{array} to symbols. $\bf{\text{Solution Details:}}$ The absolute value of $x$, written as $|x|,$ is the distance of $x$ from $0.$ Hence, in symbols, the given description is equivalent to \begin{array}{l}\require{cancel} |x|\le10 .\end{array}