| Line 3: | Line 3: | ||
<math>Given A, B \neq \varnothing \subseteq \mathbf{R}, A+B = \{ a+b \vert a \in A, b \ in B \} | <math>Given A, B \neq \varnothing \subseteq \mathbf{R}, A+B = \{ a+b \vert a \in A, b \ in B \} | ||
| − | WTS: \sup(A+B) = \ | + | WTS: \sup(A+B) = \sup A + \sup B</math> |
Revision as of 04:33, 28 August 2008
I did the first one by contradiction and a lot of cases.
$ Given A, B \neq \varnothing \subseteq \mathbf{R}, A+B = \{ a+b \vert a \in A, b \ in B \} WTS: \sup(A+B) = \sup A + \sup B $
