SOLUTION: (x^2)/(x-3) >= 0 find solutions in interval notation. I have tried a couple different ways but I know they're not right. Please help!

Algebra ->  Inequalities -> SOLUTION: (x^2)/(x-3) >= 0 find solutions in interval notation. I have tried a couple different ways but I know they're not right. Please help!      Log On


   

Question 993553: (x^2)/(x-3) >= 0 find solutions in interval notation. I have tried a couple different ways but I know they're not right. Please help!
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Be careful how your write your mathematical expressions. X and x are NOT, under any circumstances the same thing, although I'm going to assume that you meant them to be.

Since is always positive or zero, regardless of the value of . So 0 is an element of the solution set. If , then your numerator is always positive. Hence, for the LHS of your inequality to be positive, the denominator of your fraction must be positive. Find the interval that contains values of that make the denominator positive. Since is not in this interval, the solution set is the union of the interval described and the set containing the single element 0.

John

My calculator said it, I believe it, that settles it