Set :
It is a well-defined collection of objects . Examples odd sets
� Players of a cricket team � Students of your School � Members of your family � Vowels in the English alphabet { a , e , i , o , u } � Prime factors of 10 , namely { 2,5 } � Odd natural numbers less than 8 , i . e ., { 1 , 3 , 5 , 7 } � Numbers in a Dice { 1,2,3,4,5,6 }
Sets in Mathematics N : the set of all natural numbers Z : the set of all integers Q : the set of all rational numbers R : the set of real numbers
The concept of set serves as a fundamental part of the present day mathematics . Today this concept is being used in almost every branch of mathematics . Sets are used to define the concepts of relations and functions . The study of geometry , sequences , probability , etc . requires the knowledge of sets .
Numerical : Let A = Set of all even number . Are 1 , 7 , 4 , 9 member or not of this set .
Solution : Even number set will have numbers 2,4,6,8,10 … Numbers 1 , 7 & 9 are not part of this set , while number 4 is part of this set .