De Morgan's Law

Last updated at July 11, 2018 by Teachoo

De Morgan’s Law are based on complement of sets

(A ∪ B)´ = A′ ∩ B′
(A ∩ B)′ = A′ ∪ B′

Let us prove the law by Venn Diagrams

Let's take two sets A and B like

2 sets to prove demorgans law.jpg

Proving (A ∪ B)´ = A′ ∩ B′

De Morgans Law - Proving union of complement is equal to intersection of complements.jpg

Proving (A ∩ B)′= A′ ∪ B′

De Morgans Law - Proving intersection of complement is equal to union of complements.jpg

Complement of set

De Morgan's Law You are here

Number of elements in set - 2 sets (Direct) →

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 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.