Question

1Let s= {1,2,37 and P = {(1, 1), (1, 2), (2, 2), (13, (3, 1)}

what is the answer ​

Answer 1

Given Relation

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

Reflexive: If a relation has {(a,b)} as its element, then it should also have {(a,a),(b,b)} as its elements too.

Symmetric: If a relation has (a,b) as its element, then it should also have {(b,a)} as its element too.

Transitive: If a relation has {(a,b),(b,c)} as its elements, then it should also have {(a,c)} as its element too.

Now, the given relation satisfies all these three properties.

Therefore, its an equivalence relation.

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