Question icon
Grade 12Algebra

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

Profile image of Shubham Mishra
12 Years agoGrade 12
Answers icon

1 Answer

Profile image of bharat bajaj
12 Years ago
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