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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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Chapter 1: Relations - Exercise 1.3 [Page 30]

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R.D. Sharma Mathematics Volume 1 and 2 [English] Class 12
Chapter 1 Relations
Exercise 1.3 | Q 12 | Page 30

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