Solving nonlinear inequalities?
Having trouble with a part of a math problem. It's been a couple of years since I've taken a math course and now I'm in a precal class that is conducted online so I just have a book to go from. Probably not the best choice on my part since math isn't a strong suit but I don't really have a choice. The problems are as follows:
(x-2)(x+4)(x-5)^2 is greater than or equal to zero
I know critical points at 2 and 4 but I'm not sure what to do about the (x-5)^2. Do I make it x^2+25 or does it just mean (x+5) and (x-5) are both critical points
Also the problem
x(x-2) / (x-4)(x+7) is less than or equal to zero
Again I know critical points are at 4 and -7 but I'm caught up on the x(x-2) do I make it x^2-2x.
Thanks but I'd really like to know how you came to get those answers. That would be more helpful.
- someone elseLv 71 decade agoFavorite Answer
(-inf, -4], [2, inf)