The relation 'is not equal to' is defined on R, is

The relation is not equal to is defined on the set of real numbers is satisfies which of the following?

If the relation R in a set of integers defined as R = {(a, b): (a + b) is divisible by 7}, is an equivalence relation, then the equivalence class containing 0 is:

Let M be the set of men and R is a relation is son of defined on M.Then,R is ( a) an equivalence relation (b) a symmetric relation (c) a transitive relation (d) None of these

Prove that the relation R in the set of integers Z defined by R = {(x,y) : x - y. is an integer) is an equivalence relation.

Prove that the relation R in the set of integers z defined by R = { ( x , y) : x-y is an integer } is an equivalence relation.

Show that the relation R in R defined as R={(a,b):ageb} is transitive.

Show that the relation R in R defined as R={(a,b):ageb} is transitive.