Suppose that A is a nonempty set of realnumbers, and suppose that a E R is an upper bound for A. Prove that ifa E A then sup A = a.

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Answered: Suppose that A is a nonempty set of…

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter7: Real And Complex Numbers

Section7.1: The Field Of Real Numbers

Problem 2TFE: Label each of the following statements as either true or false. Every upper bound of a nonempty set ...

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Suppose that A is a nonempty set of real numbers, and suppose that a ER is an upper bound for A. Prove that if a E A then sup A = a.