A) Only symmetric
B) Only transitive
C) Only reflexive
D) Equivalence relation
Correct Answer: B
Solution :
Since \[x<y,\,y<z\Rightarrow x<zx,\,y,\,z\in N\] \[\therefore \]\[x\,R\,y,\,yR\,z\Rightarrow x\,R\,z\] , \[\therefore \] Relation is transitive, \[\therefore \]\[x<y\] does not give \[y<x\], \[\therefore \] Relation is not symmetric. Since \[x<x\] does not hold, hence relation is not reflexive.
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