Illustrate the distributive law, An(BuC)=(AnB)u(An C), by means of the Venn diagram. Description Mutually exclusive events A and B (no common elements) B is a subset of A (all elements of B are included in A) Union of A and B (all elements that are in either A or B) Intersection of A andB (all elements in both A and B) Difference between A and B (elements in A but not in 8) Complementary set A (elements not in A) Mathematical expression ANB=0 BC A AUB Soph A N B A-B Ā= S-A Fig. 1.4 AMB (a) B Venn diagram Set operations in (c) Fig. 1.5 Example 1.3 S (d)

Illustrate the distributive law, An(BuC)=(AnB)u(An C), by means of the Venn diagram. Description Mutually exclusive events A and B (no common elements) B is a subset of A (all elements of B are included in A) Union of A and B (all elements that are in either A or B) Intersection of A andB (all elements in both A and B) Difference between A and B (elements in A but not in 8) Complementary set A (elements not in A) Mathematical expression ANB=0 BC A AUB Soph A N B A-B Ā= S-A Fig. 1.4 AMB (a) B Venn diagram Set operations in (c) Fig. 1.5 Example 1.3 S (d)

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.4: Binary Operations

Problem 14E: Assume that is a binary operation on a non empty set A, and suppose that is both commutative and...

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