Fewpal
0 votes
48 views
in Mathematics by (2.5k points)

Show that 

A ∩ B = A ∩ C 

need not imply B = C. 

1 Answer

0 votes
by (2.5k points)
 
Best answer

Let A = {0, 1}, B = {0, 2, 3}, and C = {0, 4, 5} 

Accordingly, A ∩ B = {0} and A ∩ C = {0} 

Here, A ∩ B = A ∩ C = {0} 

However, 

B ≠ C [2 ∈ B and 2 ∉ 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

...