# Show that the rel

It is given that R = {(a, b): a ≤ b},

It is clear that (a, a) ϵ r as a = a.

Therefore, R is reflexive.

Now let us take (2,4) ϵ R (2 < 4)

But, (4,2) Ras 4 is greater than 2.

Therefore, R is not symmetric.

Now, let (a, b), (b, c) ϵ R

Then, a ≤ b and b ≤ c

a c

(a, c) ϵ R

Therefore, R is a transitive.

Therefore, R is reflexive and transitive but not symmetric.

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