SOLUTION: Find X values that achieve the following inequality: X > X^2. Show your work.

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Question 895795: Find X values that achieve the following inequality: X > X^2. Show your work.
Answer by josgarithmetic(39800) About Me  (Show Source):
You can put this solution on YOUR website!
x%3Ex%5E2
0%3Ex%5E2-x

x%5E2-x%3C0
x%28x-1%29%3C0
critical values are at 0 and 1.

x%3C0,_____ x%28x-1%29%3C0 false, and you can check using any point for x less than 0.
0%3Cx%3C1,_____ x%28x-1%29%3C0 TRUE, for all such values; pick any value to try.
1%3Cx,_____ x%28x-1%29%3C0 false, and pick any value of x in that interval to try.

Solution: highlight%280%3Cx%3C1%29