Relation On a Set

The union of two equivalence relations on a set is not necessarily an equivalence relation on the set.

The union of two equivalence relations on a set is not necessarily an equivalence relation on the set.

If the numbers of different reflexive relations on a set A is equal to the number of different symmetric relations on set A, then the number of elements in A is

A relation in a set A is called ......... relation, if each element of A is related to itself.

If R be a relation in a set A and (x,y)in R rArr(y,x)in R AA x,y in A then the relation R, is called

If R and S are transitive relations on a set A then prove that R uu S may not be a transitive relation on A.

If R and S are two equivalence relations on a set A then R nn S is also an equivalence relation on R.

If and and and are equivalence relations in a set A, show that R_(1)nn R_(2) is also an equivalence relation.

If R and S are transitive relations on a set A then prove that R uu S may not be a transitive relation on A.