Ans B)
In transitive closer we know (x,y),(y,z),then (x,z)
Now,(x,y), where y=x+1
(y,z) could be z=y+1=x+2
that is not in range 0<x<2
In T
It is satisfying reflexive,symmetric and transitive property.
(x,y),x-y is an integer
and range of integer $-\alpha to +\alpha$
So, T is equivalence relation