Question 895795
{{{x>x^2}}}

{{{0>x^2-x}}}


{{{x^2-x<0}}}
{{{x(x-1)<0}}}

critical values are at 0 and 1.


{{{x<0}}},_____ {{{x(x-1)<0}}} false, and you can check using any point for x less than 0.
{{{0<x<1}}},_____ {{{x(x-1)<0}}} TRUE, for all such values; pick any value to try.
{{{1<x}}},_____ {{{x(x-1)<0}}} false, and pick any value of x in that interval to try.


Solution:  {{{highlight(0<x<1)}}}