Q. 114.9( 10 Votes )

Let A = {1, 2, 3, 4} and R = {(a, b): a A, b A, a divides b}. Write R explicitly.

Answer :

given: A = {1, 2, 3, 4} and R = {(a, b): a A, b A, a divides b}

To find: set R


Both elements of R, a and b, belongs to set A and relation between and elements a and b is that a divides b


So,


1 divides 1, 2, 3 and 4.


2 divides 2 and 4.


3 divides 3.


4 divides 4.


R = {(1, 1), (1, 2), (1, 3), (1, 4), (2, 2), (2, 4), (3, 3), (4, 4)}


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Let's Play the Game of Inequalities52 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses