SOLUTION: Pls help: {{{ solve x

SOLUTION: Pls help: {{{ solve x > x^2}}}

Question 969615: Pls help:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
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.

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