Question

Let & be a relation is N defined by R={(x,y) : (x-y) is devisible by 5} is an equivalence relation.​

Answer 1

Answer:

(iii) Let xRy and yRz. ⇒x-y=5m and y-x=5n, where m and n are integers. So, R is transitive on Z. Thus R is an equivalence relation on Z.