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  3.   if s is non empty and it has a lower bound, the

  if S is non empty and it has a lower bound, then it has an...

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Question

Advance Math

 

if S is non empty and it has a lower bound, then it has an infimum, inf S

Start of proof:

b<=s for all s in S

LB: {y in R:y<=S, for all s in S}

LB is bounded above by X and LB is non empty since b is in LB

Find supLB=infS, thats what needs to be completed

Answer & Explanation Solved by verified expert
3.6 Ratings (356 Votes)
As you have not clearly mentioned the nature of S so I amanswering for two different cases with two different results1 S is a set of rational NumbersLets define S asHere S is non empty as 49 etc belong to SAlso it is    See Answer
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