I need to prove the Theorem: If omega is equal to infinity then(adsbygoogle = window.adsbygoogle || []).push({}); D=[0,infinity) and if omega<infinity, thenD=[o,infinity].

Where omega=the least upper bound ofDandD=the set of all distances that occur between points of the plane.

I'm really just not sure where to start, but I'm pretty sure it uses the following axioms:

*For any point (A) on a line (m), there exists a point (B) on (m) with 0<AB<omega.

and

*For any ray AB and any real number s with 0< s< omega, there is a point X in the ray AB with AX=s.

Any help would be great. Thanks!

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# Homework Help: Geometry Proof

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