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Prove inf(S)=-Sup(-S)??
Let S,T be subsets of ℝ, where neither T nor S are empty and both Sup(S) and Sup(T) exist.
Prove inf(S)=-sup(-S).
Starting with =>
I let x=inf(S). Then by definition, for all other lower bounds y of S, x≥y.
I'm stuck at this point...
Any help please?
Thanks
Homework Statement
Let S,T be subsets of ℝ, where neither T nor S are empty and both Sup(S) and Sup(T) exist.
Prove inf(S)=-sup(-S).
Starting with =>
I let x=inf(S). Then by definition, for all other lower bounds y of S, x≥y.
I'm stuck at this point...
Any help please?
Thanks