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

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