Answer
$(-6,2)$
Work Step by Step
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.
$x\gt-6$
