Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
395 views
in Sets, Relations and Functions by (26.1k points)
closed by

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

1 Answer

+1 vote
by (26.7k points)
selected by
 
Best answer

Let take three sets A = {1, 2), B = {2, 3} and C = {3, 1}: A ∩ B, B ∩ C and A ∩ C should be non-empty sets. A ∩ B = {2}, B ∩ C = {3} and A ∩ C = {1} 

Therefore, A ∩ B, B ∩ C and A ∩ C are non- empty. Intersection of all three sets is null set, A ∩ B ∩ C = ∅.

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.

Categories

...