**Q1: **

Which of the following describes the least upper bound of a subset of numbers?

- Athe largest number amongst all
- Bthe number so that if , then
- Cthe smallest number amongst all
- Dthe number so that if for all , then
- Ethe number so that if for all , then

**Q2: **

Suppose is a subset of real numbers that has an upper bound .

Suppose that is a least upper bound of . Which of the following relations between and must be true?

- A
- B
- C
- D
- E

Suppose is a second least upper bound for . Which of the following relations between and must be true?

- A
- B
- C
- D