How do you solve #-x^2+x>=0#?
Since this is greater than 0, then the two cases are +,+ and -,-.
Case 1 +,+:
Draw them on a number line and see where they share their domains. This one doesn't have any domain in common so the inequality doesn't work.
Case 2 -,-:
If you draw this one on a number line, they share the domain at (0,1)
which is when 0 < x < 1.