Let A and B be bounded nonempty subsets of R, and let A B : fa

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Let A and B be bounded nonempty subsets of R, and let A þ B :¼ fa þ b : a 2 A; b 2 Bg. Prove that sup(A + B) = sup A + sup B and inf(A + B) = inf A + inf B.
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Introduction to Real Analysis

ISBN: 978-0471433316

4th edition

Authors: Robert G. Bartle, Donald R. Sherbert

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