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A relation R in a set A is called $\mathbf{transitive},$ if $(a_1,a_2) \in R$ and $(a_2,a_3) \in R$ and which of the following conditions must also hold true?

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ANSWER: $\;(a_1,a_3)\in R$. A relation R in a set A is called $\mathbf{transitive},$ if $(a_1,a_2) \in  R$ and $(a_2,a_3) \in R \; \Rightarrow  \;(a_1,a_3)\in R$ for all$\; a_1,a_2,a_3 \in A$
answered Mar 8, 2013 by balaji.thirumalai
 

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