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<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 \} | ||
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WTS: \sup(A+B) = \supA + \sup B</math> | WTS: \sup(A+B) = \supA + \sup B</math> | ||
Revision as of 05:33, 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) = \supA + \sup B $
