I've been struggling on this question for the past hour and a half, and I'm really starting to get frustrated.
Find the intervals for which the following inequality holds true. Round to 3 decimal places.
|x^3 - x^2 +x -1| < 3
Obviously, I added one to both sides of the inequality to get
-2 < x^3 - x^2 +x -1 < 4
but I'm completely stumped as to how to simplify the inner trinomial to x. Any help would be greatly appreciated. Thanks!