Find sets A, B and C such that A ∩ B, B ∩ C and A ∩ C are non-empty sets and A ∩ B ∩ C = Φ

0 votes
39 views
asked Jul 18, 2017 in Mathematics by jayprakash (2,890 points) 1 3 12

Find sets A, B and C such that 

A ∩ B, B ∩ C and A ∩ C are non-empty sets and A ∩ B ∩ C = Φ

1 Answer

0 votes
answered Jul 18, 2017 by jayprakash (2,890 points) 1 3 12
 
Best answer

Let 

A = {0, 1}, B = {1, 2}, and C = {2, 0}.

 Accordingly,

 A ∩ B = {1}, B ∩ C = {2}, and A ∩ C = {0}. 

∴ A ∩ B, B ∩ C, and A ∩ C are non-empty. 

However, A ∩ B ∩ C = Φ 

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

One Thought Forever

“There is a close connection between getting up in the world and getting up in the morning.“
– Anon
~~~*****~~~

...