# How do we find the least upper bound and greatest lower bound?

## Homework Statement

1. (a) Solve the following inequalities and express the solutions first in interval notation, then
express those intervals in set builder notation.

(i) $$x3 + x2 > 2x$$ (ii) $$\left|(2-x)\right| \leq 4$$ .

(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.

N/A

## 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.

Thanks,
Charismaztex