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R IS TRANSÍTIVE..... .
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Given the relation the relation R be defined on A as follows R={(a,a),(b,c),(a,b)}.
Now, to make this relation R to be reflexive we are to add the elements like (x,x) for all x∈A.
The the relation will be R={(a,a),(b,b),(c,c),(b,c),(a,b)}.
Now this relation is reflexive but not transitive as (a,b)∈A,(b,c)∈A⇒(a,c)
∈A.
Now to make this relation to be transitive we are to add (a,c).
Then the relation will be R={(a,a),(b,b),(c,c),(b,c),(a,b),(a,c)}
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