# Show that the rel

Let us take A = {1, 2, 3}

A relation R is defined on set A as R = {(1,2), (2,1)}

It is seen that (1,1), (2,2), (3,3) R.

Therefore, R is not reflexive.

Now, we can see that (1,2) ϵ R and (2,1) ϵ R

Therefore, R is symmetric.

And now, (1,2), (2,1) ϵ R

But, (1,1) R

Therefore, R is not transitive.

Therefore, R is symmetric but neither reflexive, nor transitive.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
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 RELATED QUESTIONS :

Fill in theMathematics - Exemplar

State True Mathematics - Exemplar

State True Mathematics - Exemplar

State True Mathematics - Exemplar

Let A = {1, 2, 3}Mathematics - Exemplar

Show that the relMathematics - Board Papers

Let N denote the Mathematics - Board Papers