Distributive law of set is

A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C )

 

Let us prove it by Venn diagram

 

Let’s take 3 sets – A, B, C

Proving Distributive law of sets by Venn Diagram - Intersection of Sets


We have to prove

A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)

Distributive law proof by venn diagram.jpg

 

 


Distributive law is also

 

A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C )

this can also be proved in the same way.

Proof using examples is done here

 

  1. Chapter 1 Class 11 Sets
  2. Concept wise
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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.