Explanation Approach: Consider the statement, A ∪ ( B ∪ C ) = ( A ∪ B ) ∪ C Take left hand side statement, A ∪ ( B ∪ C ) The ( B ∪ C ) can be represented on Venn diagram by shading both the sets B and C . The Union of ( B ∪ C ) and set A will be the shaded portion of set A and ( B ∪ C ) combined. The Venn diagram for above statement is, Figure ( 1 ) Now Consider figure ( 1 ) , the dark shaded portion represents the set ( B ∪ C ) and the completed shaded area of light shaded and dark shaded represents A ∪ ( B ∪ C ) . Consider the right hand side of given statement, ( A ∪ B ) ∪ C The ( A ∪ B ) can be represented on Venn diagram by shading both the sets A and B

Finite Mathematics for the Managerial, Life, and Social Sciences

12th Edition

ISBN: 9781337405782

Author: Soo T. Tan

Publisher: Cengage Learning

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Chapter 6.1, Problem 59E

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The statement A∪(B∪C)=(A∪B)∪C using Venn diagram.

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Chapter 6.1, Problem 58E

Chapter 6.1, Problem 60E

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Chapter 6 Solutions

Finite Mathematics for the Managerial, Life, and Social Sciences

Ch. 6.1 - Prob. 1CQ Ch. 6.1 - Prob. 2CQ Ch. 6.1 - Prob. 3CQ Ch. 6.1 - Prob. 1E Ch. 6.1 - Prob. 2E Ch. 6.1 - Prob. 3E Ch. 6.1 - Prob. 4E Ch. 6.1 - Prob. 5E Ch. 6.1 - Prob. 6E Ch. 6.1 - Prob. 7E

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