Answer
Interval Notation: $(-10,2)$
Graph:
Work Step by Step
$|x+4| \lt 6$
By the absolute value inequality property, this is equivalent to
$-6 \lt x+4 \lt 6$
Using inequality properties, add $-4$ to all parts,
$-6-4 \lt x+4-4 \lt 6-4$
$-10 \lt x \lt 2$
Interval Notation: $(-10,2)$