Question

Let A ={1,2,3} and R1={(1,1),(2,2),(3,3),(2,3),(3,2) which of these relatons are reflexive, symmetric and transitive
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Answer 1

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The relation R={(1,1),(2,2),(3,3)} on the set {1,2,3} is

October 15, 2019avatar

Samuael Meghashyam

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ANSWER

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.

Answer 2

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