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There different types of sets

  1. Empty Set
  2. Finite Set
  3. Infinite Set


Let us compare them

Types of sets - Empty Finite Infinite.jpg



Types of sets Empty Set Number of elements = 0 Example A = {x: x is natural number less than 1} Since there are no natural numbers less than 1 A = {} = φ Finite Set Number elements can be counted Example A is the set of natural numbers less than 6 A = {1, 2, 3, 4, 5} Since, set A has 5 elements. So, elements can be counted. Thus, set A is finite set. Infinite Set Number elements cannot be counted i.e. if elements are infinite Example B = Set of all natural numbers B = {1, 2, 3, 4, 5, 6, 7, 8, 9, ……… } Since we cannot count all the natural numbers, Thus, Set B is infinite set.

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Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.