Show that Theorem 10.40 is best possible in the following sense. a) There exist sets A, B
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a) There exist sets A, B in R such that (A U B)° ‰ A° U 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) ‰ (A ˆ© Ï‘B) U (B ˆ© Ï‘A) U (Ï‘A ˆ© Ï‘B).
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ANB ANB.
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