whenever a E A and Let A and B be non-empty subsets of R with azb bEB. Prove that sup (A) and inf (13) exist and that sup (A) < Could whenever Sup (A) = inf (B) even though a

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.1: Postulates For The Integers (optional)
Problem 35E
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whenever a E A and
Let A and B be non-empty subsets
of R with azb
bEB. Prove that sup (A) and inf (1B)
exist and that sup (A) <
Could
whenever
inf B
Sup (A) = inf (B) even though arb
AEA and bEB
Transcribed Image Text:whenever a E A and Let A and B be non-empty subsets of R with azb bEB. Prove that sup (A) and inf (1B) exist and that sup (A) < Could whenever inf B Sup (A) = inf (B) even though arb AEA and bEB
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