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

3 sets to prove distributive law.jpg


We have to prove

A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)

Distributive law proof by venn diagram.jpg

 

  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 7 years. He provides courses for Mathematics and Science from Class 6 to 12. You can learn personally from here https://www.teachoo.com/premium/maths-and-science-classes/.
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