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Question : 1
Total: 29
State the reason for the relation R in the set {1, 2, 3} given by R = {(1, 2), (2, 1)} not to be transitive.
Solution:
A relation R in a set A is transitive if ( a 1 , a 2 ) ( a 2 , a 3 ) ( a 1 , a 3 ) a 1 , a 2 , a 3
Now, (1, 2), (2, 1) ∊ R, but (1, 1) ∉ R
Thus, the given relation R is not transitive.
Now, (1, 2), (2, 1) ∊ R, but (1, 1) ∉ R
Thus, the given relation R is not transitive.
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