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Chapter 1 : Set Theory: An Introduction

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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   1]   SETS AND THEIR REPRESENTATION Definition of a Set: A well-defined collection of distinct objects is called Set. Example 1: The collection of vowels in English alphabets. This set containing five elements, namely a,e,i,o,u. Example 2: A collection of favourite singers is not a set because it varies from person to person. If a is an element of a set A, then we write a   A and say a belongs to A or a is in A or a is member of A. If a does not belongs to A, we write a   A. Example 3: ‘a’ belongs to the set of vowels in English alphabets. Example 4: The collection of all states in the Indian union is a set. ...