## Intermediate Algebra (6th Edition)

$(-6,2)$
We are given that $|x+2|\lt4$. Therefore, $x+2\lt4$ and $x+2\gt-4$. We can solve each equation to find solutions for x. For $x+2\lt4$, subtract 2 from both sides. $x\lt2$ For $x+2\gt-4$, subtract 2 from both sides. $x\gt-6$