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There different types of sets
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Types of sets
Last updated at April 16, 2024 by Teachoo
Chapter 1 Class 11 Sets
Concept wise
- Depiction and Definition
- Depicition of sets - Roster form
- Depicition of sets - Set builder form
- Intervals
- Null Set
-
Finite/Infinite
- Equal sets
- Subset
- Power Set
- Universal Set
- Venn Diagram and Union of Set
- Intersection of Sets
- Difference of sets
- Complement of set
- Number of elements in set - 2 sets (Direct)
- Number of elements in set - 2 sets - (Using properties)
- Number of elements in set - 3 sets
- Proof - Using properties of sets
- Proof - where properties of sets cant be applied,using element
Transcript
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.
