Answer
$3.98 \lt x \lt 4.02$
Work Step by Step
This time we have to consider two possible solution, for the absolute value being negative and positive. We have to solve next $2$ inequalities:
$±(x-4)\lt0.02$
$-0.02\lt x-4 \lt0.02$
$3.98 \lt x \lt 4.02$