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Types of SetsCovid19 has led the world to go through a phenomenal transition . Elearning is the future today. Stay Home , Stay Safe and keep learning!!! Types of Sets are explained below :1) Singleton sets: A set which contains only one element is known as Singleton set . Examples : 1) If P = { x  x is a prime number 10 and 12 } then P = {11} As we observe that there is only one element in set P. n(P) = 1 so set P is a singleton set. 2) If A = { x x ∉ 3 < x < 5 } then A = { x x ∉ 3 < x < 5 } A = { 4} As the set A contains only one element so set A is a singleton set. 2) Finite sets : The sets in which number of elements are limited and can be counted, such sets are called finite sets. Example : If A= { x  x is a prime number, x<10 } then A= { 2,3,5,7} Here then there are only 4 elements which satisfies the given condition. Thus, set A is a finite set. 3) Infinite sets : The sets in which number of elements are unlimited and can not be counted, such sets are called infinite sets . Example : set C = { 10,20,30,40,50,60,…} As the number of elements in set C are infinity (uncountable) Thus, set C is an infinite set. 4) Empty set : A set which has no element in it and is denoted by φ ( Greek letter ‘phi’) Thus n(φ) = 0 It is also known as null set or void set . Example : set A ={ 18 < x < 19} So between 18 and 19 there is no element. Thus, set A is an empty set. Set Theory • Sets • Representation of Set • Cardinal Number • Types of Sets • Pairs of Sets • Subset • Complement of Set • Union of the Sets • Intersection of Sets • Operations on Sets • De Morgan's Law • Venn Diagrams • Venndiagrams for sets • Venndiagrams for different situations • Problems on Intersection of Two Sets • Problems on Intersection of Three Sets Covid19 has affected physical interactions between people. Don't let it affect your learning.
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