Answer
$3.99\leq x\leq 4.01$
Work Step by Step
The inequality we have to solve is:
$|x-4|\leq0.01\\-0.01\leq x-4\leq0.01\\3.99\leq x\leq 4.01$
This is because if $A\gt0$ and $|B|\leq A$, then $-A\leq B\leq A$
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