No study is complete without solving problems on your own. Below are the exercises related to part V.
Using the properties of real numbers, show that
1) or or .
2) If , .
3) if , then .
4) If , then .
5) If , then for any positive integer n.
6) For , implies .
7) If , then , and , and
8) If , then
9) Every set that is bounded below admits a greatest lower bound.