1. (a) Solve the following inequalities and express the solutions first in interval notation, then
express those intervals in set builder notation.
(i) [tex]x3 + x2 > 2x[/tex] (ii) [tex]\left|(2-x)\right| \leq 4[/tex] .
(b) For each of the solution sets in part (a), state the least upper bound and greatest lower bound,
if these exist, or say they do not exist.
The Attempt at a Solution
I have found that:
For (i) x is between -2 and 0 or x greater than 1.
For (ii) x is between -2 and 6 (including -2 and 6)
Are the bounds just the extreme values of the domain that the function can take? I just want to make sure.