Answer
In interval notation: $(-5,-1)$
Work Step by Step
$|x+3| \lt 2$
By the property, $|X| \lt a = -a \lt x \lt a$, the given inequality is written as
$-2 \lt x+3 \lt 2$
Using the properties of inequality, Add $-3$ to all parts,
$-2-3 \lt x+3-3 \lt 2-3$
$-5 \lt x \lt -1$
In interval notation: $(-5,-1)$
