The relation aRb, If `|a| leqb, AA a,b in R` is

Let n be a fixed positive integer. Defiene a relation R in Z as follows : AA a, b in Z , aRb if and only if a - b divisible by n. Show that R is equivalance relation.

Let us define a relation R in R as aRb if a ge b . Then, R is

Let us define a relation R in R as aRb if a ge b . Then, R is

Let us define a relation R in R as aRb if a geb . Then, R is .......

Prove that on the set of integers. Z, the relation R defined as aRb hArr a = +-b is an equivalence relation .

Discuss the relations for reflexivity, symmetricity and transitivity : Let A be the set consisting of all the members of a family. The relation R defined by " aRb if a is not a sister of b"

Discuss the relations for reflexivity, symmetricity and transitivity : Let A be the set consisting of all the female members of a family. The relation R defined by " aRb if a is not a sister of b".