Question 969615
0> x^2 -x
I like the form x^2 - x <0

Factor out x
x(x-1) <0
 
x<0 doesn't work, since all squares are positive,

x-1 < 0; x< 1

That works until 0 is reached, so the interval that works is (0,1).  When fractions under 1 are squared, they become less than the original number.  (1/2) ^2= (1/4).

Note:  While dividing by x at the beginning gives you the correct answer, it removes one other root from consideration, so move all the variables to one side.