Concept explainers
Let
Proof: Suppose A, B and C are any sets.
(1) Proof that
Let
By definition of
Thus
Case 1 (
Case 2 (
By cases 1 and 2,
[So
(2) Proof that
Let
By definition of
Case 1
Since
Case 2
Since
In both cases
[So
(3) Conclusion: [Since both subset relations have been proved, it follows, by definition of set equality, that (a).]
Trending nowThis is a popular solution!
Chapter 6 Solutions
WEBASSIGN F/EPPS DISCRETE MATHEMATICS
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elements Of Modern AlgebraAlgebraISBN:9781285463230Author:Gilbert, Linda, JimmiePublisher:Cengage Learning,
- Algebra: Structure And Method, Book 1AlgebraISBN:9780395977224Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. ColePublisher:McDougal LittellElementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage Learning