The Student
Junior Member
- Joined
- Apr 25, 2012
- Messages
- 241
Solve x^2 - x < 0. We were using (a^2)^(1/2) = |a| as a method for questions like these, but I am not sure if it applies here. We also used |x| < a if and only if -a < x < a. So, I will apply both methods. x^2 - x < 0, x^2 < x, (x^2)^(1/2) < x^(1/2). So (x^2)^(1/2) < x^(1/2), |x| < x^(1/2). Then according to the methods, -x^(1/2) < x < x^(1/2). But this is as far as I can get. The answer has the solution set as (0, 1).