A relation “congruence modulo " is
An equivalence relation
Explanation for correct option.
Step1. Relation is Reflexive
If is a relation define, is divisible by .
‘’ because is divisible by .
It is reflexive.
Step2. Relation is Symmetric.
is divisible by .
is also divisible by .
.
It is symmetric.
Step3. Relation is Transitive.
It is transitive
Since is reflexive, symmetric & transitive , it is an equivalence relation.
Hence, the correct option is