(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

LetSandTbe non-empty subsets of R, and suppose that for alls[tex]\in[/tex]Sandt[tex]\in[/tex]T, we haves[tex]\leq[/tex] t.

Prove that supS[tex]\leq[/tex] infT.

2. Relevant equations

N/A

3. The attempt at a solution

Sinces[tex]\in[/tex]S[tex]\Rightarrow[/tex]s[tex]\in[/tex]T, supTis an upper bound forS.

Since supSis the least upper bound, supS[tex]\leq[/tex] supT.

How does this look to you? Feedback is appreciated.

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# Homework Help: Prove supS <= infT

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