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## 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) [tex]x3 + x2 > 2x[/tex] (ii) [tex]\left|(2-x)\right| \leq 4[/tex] .

(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.

## Homework Equations

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