Last updated at Jan. 27, 2020 by Teachoo

Transcript

Ex 1.3, 4 Write down all the subsets of the following sets: (i) {a} Let A = {a} Number of elements in A is 1 Hence n = 1 Number of subsets of A = 2n = 21 = 2 Null set and the set itself are the subsets of the set. The subsets of {a} are Ø and {a}. Ex 1.3, 4 Write down all the subsets of the following sets: (ii) {a, b} Let A= {a, b} Number of elements in A is 2 Hence n = 2 Number of subsets of A = 2n = 22 = 4 The subsets of {a, b} are Ø, {a}, {b}, and {a, b}. Ex 1.3, 4 Write down all the subsets of the following sets: (iii) {1, 2, 3} Let A= {1, 2, 3} Number of elements in A is 3 Hence n = 3 Number of subsets of A = 2n = 23 = 8 The subsets of {1, 2, 3} are Ø, {1}, {2}, {3}, {1, 2}, {2, 3}, {1, 3}, and {1, 2, 3} Ex 1.3, 4 Write down all the subsets of the following sets: (iv) ϕ Let A = ϕ Number of elements in A is 0 Hence n = 0 Number of subsets of A = 2n = 20 = 1 Null set and the set itself are the subsets of the set. Here null set is the set itself. So, the only subset of ϕ is ϕ

Chapter 1 Class 11 Sets

Concept wise

- Depiction and Defination
- 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

About the Author

Davneet Singh

Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.