Question

2 Qus- A relation fin the set A = {1, 2, 3}
as follow: R= {(1,1), (2,2), (3, 3), (1,3)},
Write the ordered
pairs to be added
to R to make it smallest,​

Answer 1

Answer:

The smallest equivalence relations is (3 , 1)..

Step-by-step explanation:

We have R= {(1,1) , (2,2) , (3,3),(1,3)}

As,(a,a) €R, for all values of a €A

So,R is a reflexive relation

R can be a symmetric and transitive

relation only when element (3 , 1) is added.

Hence,the ordered pairs to be added to R make the smallest equivalence relations is (3 , 1)..

I hope this answer is helpful for you....