Answer
$[9.39,9.41]$
Work Step by Step
Consider the inequality $|x-9.4|\leq 0.01$
or, $x \leq 0.01+9.4$
This implies that $x \leq 9.41$
Now, $|x-9.4|\leq 0.01$
or, $x \geq -0.01+9.4$
This implies that $x \geq 9.39$
or, $9.39 \leq x \leq 9.41$
Hence, $[9.39,9.41]$
