SOLUTION: I need help on this problem. My answer is no solution, please confirm. x^2 -x > -12

Algebra ->  Inequalities -> SOLUTION: I need help on this problem. My answer is no solution, please confirm. x^2 -x > -12      Log On


   

Question 288555: I need help on this problem. My answer is no solution, please confirm.
x^2 -x > -12
Answer by AnlytcPhil(1808) About Me  (Show Source):
You can put this solution on YOUR website!
I need help on this problem. My answer is no solution, please confirm.
x%5E2+-x+%3E+-12

x%5E2-x%2B12%3E0

The graph of y=x%5E2-x%2B12 is a parabola which is always above
the x-axis, and thus y (which is x%5E2-x%2B12 is always positive. 
So the solution is "all real numbers" and the interval notation is:

(-infinity,infinity)

graph%28400%2C400%2C-30%2C30%2C-30%2C30%2Cx%5E2-x%2B12%29

Edwin