SOLUTION: Please help me with this inequality x-x^2 < or equal to 0 Thanks, pabblo

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Question 23332: Please help me with this inequality
x-x^2 < or equal to 0
Thanks,
pabblo
Answer by philberg99(10) About Me  (Show Source):
You can put this solution on YOUR website!
To solve this problem, think about graphing the quadratic x-x%5E2.
+graph%28+200%2C+200%2C+-2%2C+2%2C+-2%2C+2%2C+x-x%5E2%29+
Now we look at which x values gives a positive output, or which x values have a y value that is above the x axis. This yields the interval [0,1] as the answer.
Where does 0 and 1 come from? They're the solutions to the equation 0 = x-x%5E2 = x(1-x). So x = 0 or 1-x = 0. Thus x = 0 or 1.