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

$|x+4|\lt3$
Halfway between the boundaries of the given graph, $-7$ and $-1,$ is $-4.$ From $-4,$ the points on the graph represent all numbers that are less than $3$ units away. Hence, the given graph is equivalent to \begin{array}{l}\require{cancel} |x-(-4)|\lt3 \\\\ |x+4|\lt3 .\end{array}