Let A be a non-empty set of positive nunıbers, which is bounded above and let B = {x e R: 1/x e A}. 1 Prove that B is bounded below and inf B %3D Sup A

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.2: Mappings
Problem 28E: 28. Let where and are nonempty. Prove that has the property that for every subset of if...
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**Prove

Let A be a non-empty set of positive numbers, which is
bounded above and let
В %3D (x€ R: 1/х€ A}.
1
Prove that B is bounded below and inf B =
Sup A
Transcribed Image Text:Let A be a non-empty set of positive numbers, which is bounded above and let В %3D (x€ R: 1/х€ A}. 1 Prove that B is bounded below and inf B = Sup A
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