# How do you solve #-x^2+x>=0#?

##### 1 Answer

Sep 30, 2016

or

#### Explanation:

Factor

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.