Fewpal
0 votes
9 views
in Mathematics by (50.1k points)

Let N be the set of all natural numbers and let R be a relation in N x N defined by (a, b) R (c, d) ⇔ ad = bc 

For all (a, b), (c, d) ∈ N x N. Show that R is an equivalence relation on N x N.

Please log in or register to answer this question.

1 Answer

0 votes
by (50.6k points)

Prove it is reflexive, prove it is symmetric, prove it is transitive. 

Because it is reflexive, symmetric and transitive, so R is an equivalence relation on N x N.

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

...