Suppose that A and B are subsets of S. (a) Show that A ∩ B and A ∩ Bc are disjoint. (b) Express A as a union of two disjoint sets. (c) Express A ∪ B as a union of three mutually exclusive sets.
Suppose that A and B are subsets of S. (a) Show that A ∩ B and A ∩ Bc are disjoint. (b) Express A as a union of two disjoint sets. (c) Express A ∪ B as a union of three mutually exclusive sets.
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
Section12.1: Sets
Problem 26E
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Suppose that A and B are subsets of S.
(a) Show that A ∩ B and A ∩ Bc are disjoint.
(b) Express A as a union of two disjoint sets.
(c) Express A ∪ B as a union of three mutually exclusive sets.
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