If the relation R in the set {1,2,3} given by R={(1,2), (2,1), (1,1)},

1.	If the relation R in the set {1,2,3} given by R={(1,2), (2,1), (1,1)}, then state if R is transitive relation, justify your answer
Answer» We know that, for a relation to be transitive, (x,y) ∈ R and (y, z) ∈ R then (x,z) ∈ R. Here, (1,2) ∈ R and (2,1) ∈ R but (1,1) ∈ R. R is transitive.

If the relation R in the set {1,2,3} given by R={(1,2), (2,1), (1,1)}, then state if R is transitive relation, justify your answer

Answer»

We know that, for a relation to be transitive,

(x,y) ∈ R and (y, z) ∈ R then (x,z) ∈ R.

Here, (1,2) ∈ R and (2,1) ∈ R but (1,1) ∈ R.

R is transitive.

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If the relation R in the set {1,2,3} given by R={(1,2), (2,1), (1,1)}, then state if R is transitive relation, justify your answer

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