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Question
State the reason for the relation R on the set {1, 2, 3} given by R = {(1, 2), (2, 1)} to be transitive ?
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Solution
Since (1, 2) ∈ R, (2, 1) ∈ R but (1, 1) ∉ R, R is not transitive on the set {1, 2, 3}.For R to be in a transitive relation, we must have (1, 1) ∈ R.
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