[All Steps] 3.Let T and S be nonempty bounded subsets of the set of real numbers with S a subset of T. Prove that inf T < inf S < sup S < sup
Question: 3.Let T and S be nonempty bounded subsets of the set of real numbers with S a subset of T. Prove that inf T < inf S < sup S < sup T.
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![[Step-by-Step] S is a subset of real](/images/solutions/MC-solution-library-51857.jpg "[Step-by-Step] S is a subset of real numbers and T is a subset of")
[Step-by-Step] S is a subset of real numbers and T is a subset of
![[Solution Library] Prove: a boundary point of](/images/solutions/MC-solution-library-51858.jpg "[Solution Library] Prove: a boundary point of a set S is either an")
[Solution Library] Prove: a boundary point of a set S is either an
![[See Solution] Let S be a bounded](/images/solutions/MC-solution-library-51859.jpg "[See Solution] Let S be a bounded infinite set and let x = sup")
[See Solution] Let S be a bounded infinite set and let x = sup
![Step-by-Step Solution](/images/solutions/MC-solution-library-51860.jpg "[See Solution] prove: bd(S)=cl(S)∩ cl(R\")
[See Solution] prove: bd(S)=cl(S)∩ cl(R\
(Step-by-Step) prove: bd S is a closed
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