Show that Theorem 8 37 is best possible in the following sense a) There exist sets A, B in R such that (A U B) A B c) There exist sets A, B in R such that (A U B) A U B and (A B) A U B ANB ANB ...

a If A 0 1 and B 1 2 then A B o 0 2 but A ...

Show that Theorem 8.37 is best possible in the following sense. a) There exist sets A, B

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Show that Theorem 8.37 is best possible in the following sense.
a) There exist sets A, B in R such that (A U B)° ± A° ‹ƒ B".

c) There exist sets A, B in R such that Ï‘(A U B) ‰ Ï‘A U Ï‘B and Ï‘(A ˆ© B) ‰ Ï‘A U Ï‘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 04:13 AM

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Show that Theorem 8.37 is best possible in the following sense. a) There exist sets A, B

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ANB+ANB.

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An Introduction to Analysis

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