Q. 153.8( 45 Votes )

# Let R be the rela

Answer :

It is given that the relation in the set {1, 2, 3, 4} given by

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

**Check symmetric:**

As (1,1),(2,2),(3,3),(4,4) ϵ R

It is seen that (a, a) ϵ R, for every a ϵ {1,2,3,4}

Therefore, R is reflexive.

**Check symmetric:**

We can seen that (1, 2) ϵ R, but (2, 1) ∉R.

Therefore, R is not symmetric.

**Check transitive:**

(a, b), (b, c) ϵ R

⇒ (a, c) ϵ R

here (1,3) ϵ R , (3,2) ϵ R and (1,2) ϵ R

Therefore, R is 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 Expertsview all courses

Dedicated counsellor for each student

24X7 Doubt Resolution

Daily Report Card

Detailed Performance Evaluation

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