Answer
$(0, 10)$
Work Step by Step
$x/(x-10) < 0$
The denominator is zero when $x=10$, and the numerator is zero when $x=0$.
We have three sections: $(−∞,0)$, $(0, 10)$, and $(10,∞)$. We need to test one value for x in each section to determine if the section would be a solution set. Since we have the $