Answer
$3.99 \leq x \leq 4.01$
Work Step by Step
$-0.01 \leq x-4 \leq 0.01$ is the meaning of the absolute value. Remember, absolute value cannot be negative, BUT if $x\leq0$ $|x|=-x$.
Solving gives $3.99 \leq x \leq 4.01$
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