If S R is a nonempty bounded set, and IS := (inf S; sup S) ,

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If S ⊂ R is a nonempty bounded set, and IS := (inf S; sup S) , show that S ⊂ IS. Moreover, if J is any closed bounded interval containing S, show that IS ⊂ J.

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Introduction to Real Analysis

ISBN: 978-0471433316

4th edition

Authors: Robert G. Bartle, Donald R. Sherbert

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Question Posted: Apr 07, 2016 10:55 AM

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If S R is a nonempty bounded set, and IS := (inf S; sup S) ,

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Since inf S is a lower bound for S ...View the full answer

Introduction to Real Analysis

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