Answered: Suppose that A and B are bounded,…

Suppose that A and B are bounded, nonempty subsets of R. Prove that AU B is bounded and that sup(AU B) = max {sup A, sup B} .

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.5: Permutations And Inverses

Problem 4E: 4. Let , where is nonempty. Prove that a has left inverse if and only if for every subset of .

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Suppose that A and B are bounded, nonempty subsets of R. Prove that AU B is bounded and that
sup(AU B)
= max {sup A, sup B} .

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