I don't really understand how to solve non-linear inequalities after the factoring step? I don't understand how to use sign charts!
Please and thank you!
Then, we make note of the fact that a function can only ever change from positive to negative, or vice versa, AT the x-intercepts.
Therefore, the x intercepts break up the domain into a number of regions where the function could be positive or could be negative.
Test each of those regions by substituting a point from each of those regions into the function. See if you get positive or negative.
The solution to each inequality should then easily follow.
Well I understand the part you've explained, so let me be clearer. I don't understand how the positive and negative changes/leads to the solution. Like, what does it lend to the solution if its positive or negative? If that isn't clear enough, I'd appreciate explanation with an example.
Your questions asks "at what points is ?"
You know where it equals 0, you know where it is positive. Put those answers together.