Suppose that E, A, B R and E = A U B. Prove that if E

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Suppose that E, A, B ⊂ R and E = A U B. Prove that if E has a supremum and both A and B are nonempty, then sup A and sup B both exist, and sup E is one of the numbers sup A or sup B.

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An Introduction to Analysis

ISBN: 978-0132296380

4th edition

Authors: William R. Wade

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Question Posted: Mar 29, 2016 03:53 AM

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Suppose that E, A, B R and E = A U B. Prove that if E

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Since A E any upper bound of E is an upper bound of A Since A is nonempty it follows from ...View the full answer

An Introduction to Analysis

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