Answer
Interval: $(-6,2)$
Work Step by Step
$4|x+2|-3\lt 13$
$4|x+2|\lt 13+3$
$4|x+2|\lt 16$
$|x+2|\lt 16/4$
$|x+2|\lt 4$
$4\lt x+2\lt 4$
$-6\lt x\lt 2$
Interval: $(-6,2)$
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