A) Reflexive
B) Symmetric
C) Transitive
D) None of these
Correct Answer: C
Solution :
Since\[x\not{<}x,\] therefore R is not reflexive. Also \[x<y\] does not imply that \[y<x,\]So R is not symmetric. Let \[x\text{ }R\,y\]and\[y\,R\,z\]. Then, \[x<y\]and \[y<z\] Þ \[(a,b)\in R\] i.e., \[x\,R\,z\]. Hence R is transitive.You need to login to perform this action.
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