7. Show that Theorem 10.40 is best possible in the following sense. (a) There exist sets A,...
Question:
7. Show that Theorem 10.40 is best possible in the following sense.
(a) There exist sets A, Bin R such that (A U B)O i A~ U BO.
(b) There exist sets A, B in R such that A n B =f A n B.
(c) There exist sets A, Bin R such that 8(A U B) =f 8A U 8B and 8(A n B) =f
(A n 8B) U (B n 8A) U (8A n 8B).
~. This exercise is used many times from Section 10.4 onward.
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