De Morgan's Law

Last updated at July 14, 2026 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 Morgan's Law - Part 2

Proving (A ∩ B)′= A′ ∪ B′

De Morgan's Law - Part 3

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