V. Proving: 1. a) Suppose A, B and C are sets. What do you need to show to prove the following using the definition of a subset: (((AB)-C) (C-(AUB))) < (AU (BUC)) b) Use the definition of subset to prove: If A, B and C are sets then (((AB)-C) (C-(AUB))) = (AU (BUC))

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.CR: Chapter 12 Review
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VI: B omly
V. Proving:
1. a) Suppose A, B and C are sets. What do you need to show to prove the following using the
definition of a subset:
(((AnB)-C)
(C-(AUB))) < (AU (BUC))
b) Use the definition of subset to prove:
If A, B and C are sets then (((AB)-C) (C-(AUB))) < (AU (BUC))
Transcribed Image Text:V. Proving: 1. a) Suppose A, B and C are sets. What do you need to show to prove the following using the definition of a subset: (((AnB)-C) (C-(AUB))) < (AU (BUC)) b) Use the definition of subset to prove: If A, B and C are sets then (((AB)-C) (C-(AUB))) < (AU (BUC))
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