(adsbygoogle = window.adsbygoogle || []).push({}); 1. sup (empty set) = -infinity, and if V is not bounded above, then sup V = +infinity. Prove if V[tex]\subseteq[/tex]W[tex]\subseteq[/tex]Real Numbers then sup V is lessthan/equalto supW

3. I used a proof by contrapositive, but I'm not sure if it is completely valid....

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Supremums of unbounded sets

**Physics Forums | Science Articles, Homework Help, Discussion**