1. Chapter 1 Class 11 Sets
  2. Concept wise
  3. Complement of set

De Morgan's Law

Last updated at July 11, 2018 by

De Morgan’s Law are based on complement of sets

  1. (A ∪ B)´ = A′ ∩ B′
  2. (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

  1. Chapter 1 Class 11 Sets
  2. Concept wise

    3. Complement of set

    Number of elements in set - 2 sets (Direct) →
Chapter 1 Class 11 Sets
Concept wise

About the Author

Davneet Singh's photo - Teacher, Computer Engineer, Marketer
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.