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A relation R on a set A is called ______. If (a_1, a_2) ∈ R and (a_2, a_3) ∈ R implies that (a_1, a_3) ∈ R, for a_1, a_2, a_3 ∈ A. - Mathematics

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Question

A relation R on a set A is called ______. If (a1, a2) ∈ R and (a2, a3) ∈ R implies that (a1, a3) ∈ R, for a1, a2, a3 ∈ A.

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Solution

A relation R on a set A is called transitive. If (a1, a2) ∈ R and (a2, a3) ∈ R implies that (a1, a3) ∈ R, for a1, a2, a3 ∈ A.

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2019-2020 (March) Delhi Set 2
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