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Chapter 2: Operation of Sets

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  Return to Table of Content   Mathematics for Biotechnology and Data Science  Chapter 1: Set Theory  Chapter 2: Operation of Sets  Chapter 3: Application of Set Theory   Chapter 4: Venn Diagram    Chapter 5: Relation    Chapter 6:  MAPPING OR FUNCTIONS   Chapter 8: Inverse of a Function  Chapter 2: Operation of Sets  2.1. Union of Sets : Let A and B be two sets. The union of A and B is the set of all those elements which belong either to A or to B or to both A and B. We shall use notation   (reads as “A union B”) to denote the union of A and B. Thus, . Clearly, . and, . It is evident form the definition that Example 1: If A = {1, 2, 3} and B = {1, 3, 5, 7}, then . Example 2: If   and   then   2.2. Intersection of Sets : Let A and B be two sets. The intersection of A and B is the set of all those elements that belong to both A and B.   We shall use notation   (re...