Last updated at Dec. 8, 2016 by Teachoo

Transcript

Misc 12, Find sets A, B and C such that A ∩ B, B ∩ C and A ∩ C are non-empty sets and A ∩ B ∩ C = ∅. A ∩ B should be non-empty, i.e. there should be some common element between A & B Similarly, B ∩ C should be non-empty, i.e. there should be some common element between B & C A ∩ C should be non-empty, i.e. there should be some common element between A & C Also, given that A ∩ B ∩ C is a null set, i.e. there should be not be any element common between A, B & C Let A = {0, 1}, B = {1, 2}, and C = {2, 0}. Now, A ∩ B = {1}, B ∩ C = {2}, and A ∩ C = {0}. ∴ A ∩ B, B ∩ C, and A ∩ C are non-empty. However, A ∩ B ∩ C = ∅

About the Author

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/.