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Define a Transitive Relation ?

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Question

Define a transitive relation ?

Definition
Sum
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Solution

A relation R on a set A is said to be transitive if

(a, b) ∈ R and (b, c) ∈ R

⇒ (a, c) ∈ R for all a, c ∈ R

i.e. aRb and bRc

⇒ aRc for all a, b, ∈ R

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