Question

The relation R in the set {1,2,3 } given by B {(1,1 ), (2, 2), (3,3), (1, 2); (2,3)} is not transitive why?​

Answer 1

Answer:

Given set {1,2,3} and relation R = {(1, 2), (2, 1)}.

For relation R to be transitive:

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

But in the given relation:

⇒ (2,3) and (1,3) ∉ R

Hence, Given Relation R is not transitive.

Answer 2

Answer:

The relation R in the set {1,2,3 } given by B {(1,1 ), (2, 2), (3,3), (1, 2); (2,3)} is not transitive why?