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

De Morgans Law

Last updated at Jan. 29, 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) →
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Chapter 1 Class 11 Sets
Concept wise

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