No study is complete without solving problems on your own. Below are the exercises related to part V.
Exercises.
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.
More later,
Nalin Pithwa