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Suppose that A, B, and C are sets. Prove or disprove that

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen ISBN: 9780073383095 37

Solution for problem 8E Chapter 2.SE

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

Discrete Mathematics and Its Applications | 7th Edition

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Problem 8E

Suppose that A, B, and C are sets. Prove or disprove that (A ? B)?C = (A ?C) ? B.

Step-by-Step Solution:

Solution:Step 1: Suppose that A, B, and C are sets. Assume A={2,4,6,8,10}-even number set B={1,3,5,7,9}-odd number set C={1,2,3,4,5}-positive real number set Step 2: We have to prove or disprove that (A B)C = (A C) B.Step 3: This statement is true. (A B)C = (A C) B. A-B-C=A-C-B A-B-C=A-B-C We take an example to prove this statement.

Step 4 of 5

Chapter 2.SE, Problem 8E is Solved
Step 5 of 5

Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

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