Let = {1, 2, 3} and = {(1, 1), (2, 2), (3, 3), (1, 3), (3, 2), (1, 2)}

1.	Let = {1, 2, 3} and = {(1, 1), (2, 2), (3, 3), (1, 3), (3, 2), (1, 2)}. Then verify that is transitive or not.
Answer» Let set = {1, 2, 3}. And relation on set is defined as = {(1, 1), (2, 2), (3, 3), (1, 3), (3, 2), (1, 2)}. Since, if there is any (a, b) ∊ R and (b, c) ∊R for a,b,c ∊ R, then (a, c) ∊ R. Hence, relation R is a transitive relation on set A.

Let = {1, 2, 3} and = {(1, 1), (2, 2), (3, 3), (1, 3), (3, 2), (1, 2)}. Then verify that is transitive or not.

Answer»

Let set = {1, 2, 3}.

And relation on set is defined as = {(1, 1), (2, 2), (3, 3), (1, 3), (3, 2), (1, 2)}.

Since, if there is any (a, b) ∊ R and (b, c) ∊R for a,b,c ∊ R, then (a, c) ∊ R.

Hence, relation R is a transitive relation on set A.

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Let = {1, 2, 3} and = {(1, 1), (2, 2), (3, 3), (1, 3), (3, 2), (1, 2)}. Then verify that is transitive or not.

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