Explanation Approach: Consider the statement, A ∩ ( B ∪ C ) = ( A ∩ B ) ∪ ( A ∩ C ) Take left hand side statement, A ∩ ( B ∪ C ) The ( B ∪ C ) can be represented on Venn diagram by shading the complete area of the sets B and C . The intersection of ( B ∪ C ) and set A will be the area which is common to both ( B ∪ C ) and set A . The Venn diagram for above statement is, Figure ( 1 ) Now Consider figure ( 1 ) , the shaded portion represents A ∩ ( B ∪ C ) . Consider the right hand side of given statement, ( A ∩ B ) ∪ ( A ∩ C ) The ( A ∩ B ) can be represented on Venn diagram by shading the common overlapping area of the sets A and B and the set ( A ∩ C ) can be represented by shading the common overlapping area of the sets A and C

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Author: Tan

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Chapter 6.1, Problem 61E

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

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Chapter 6.1, Problem 60E

Chapter 6.1, Problem 62E

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