Question

for the set A={1,2,3}, define a relation R in the set a
follows
R = {(1,1), (2, 2),(3,3), (1,3)}
write the ordered pairs to be added to R to make it the smallest equivalence relation​

Answer 1

Answer:

<>1,1

Step-by-step explanation:

It heipls ansfollow

Answer 2

Answer:

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Step-by-step explanation:

It is clearly evident that R is a reflexive relation and also a transitive relation ,

but it is not symmetric as (1,3) is present in R but (3,1) is not present in R .

So, to make R an equivalence relation we can simply add (3,1) to R which will also not disturb transitivity and reflexivity .

∴ R = { (1,1) , (2,2) , (3,3) , (1,3) , (3,1) }     ✔✔✔

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