# Answer to Question #16496 in Real Analysis for sherly

Question #16496

show that a nonempty finite set s subsets R contains its supremum

Expert's answer

Every finite subset in R is linearly ordered by "<=".

So this subset can

be presented as a1<=a2<=...<=a_n.

Thus a_n belongs to this subset,

and it is its maximum and supremum at the same time.

So this subset can

be presented as a1<=a2<=...<=a_n.

Thus a_n belongs to this subset,

and it is its maximum and supremum at the same time.

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