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Set A= {1, 2, 3} R1 and R2 is defined from set A R1= {(1, 1), (1, 2), (2, 2), (2, 3), (3, 3)} R2= {(1, 1), (1, 3), (2, 3)} Is R1 and R2 is transitive. Give reason also

Shubham Mishra , 12 Years ago
Grade 12
anser 1 Answers
bharat bajaj
A relation on a set is transitive if, when we have (a,b) and (b,c), we have also (a,c).
Hence take R1.. if we take (1,2) and (2,3) .. There is no (1,3). Hence it is non-transitive.
We take R2.. It satisfies the condition. Hence it is transitive.

Thanks & Regards
Bharat Bajaj
askIITians Faculty
IIT Delhi
Last Activity: 12 Years ago
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