- #1

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- 14

## Homework Statement

Show that Q does not fulfill the completeness axiom.

## Homework Equations

"Every non empty set of rational numbers that contains an upper bound contains a least upper bound" (show this is false)

## The Attempt at a Solution

I've sat on this question for a few days, but I can't think of ANYTHING. I tried thinking of trying to show the opposite, to see where it would lead me. I couldn't start there. Any help JUST getting started?

I understand what the completeness axiom is. I understand what rational numbers are. I have no clue how to start.