10. (a) Show that relative complementation is not commuta- tive; that is, the equality A \ B = B \ A can fail. (b) Show that relative complementation is not associa- tive: (A \ B) \ C = A \ (B\ C) can fail.

Mathematics For Machine Technology
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ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter49: Achievement Review—section Four
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10. (a) Show that relative
complementation is not commuta-
tive; that is, the equality A \ B = B \ A can fail.
(b) Show that relative complementation is not associa-
tive: (A \ B) \ C = A \ (B \ C) can fail.
Transcribed Image Text:10. (a) Show that relative complementation is not commuta- tive; that is, the equality A \ B = B \ A can fail. (b) Show that relative complementation is not associa- tive: (A \ B) \ C = A \ (B \ C) can fail.
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