A) only symmetric
B) only transitive
C) only reflexive
D) equivalence relation
Correct Answer: B
Solution :
\[a\in N\] then, \[a<|a\Rightarrow \,\,aR\,a\,\Rightarrow R\] is not reflexive. \[a,\,b\in N\] if \[a<b\] then \[b<|a\Rightarrow \,aRb\,\Rightarrow \,bRa\] \[\Rightarrow \] R is not symmetric. \[a,\,b,\,c\in N,\,\,a<b,\,\,b<c\Rightarrow \,\,a<c\] \[\Rightarrow \,\,aRb,\,\,bRc\,\Rightarrow \,aRc\] \[\Rightarrow \,\] R is transitive.
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