If R and R' are symmetric relations (not disjoint ) on a set A then the relation R `cap` R' is not

If R and R' are symmetric relations (not disjoint) on a set A ,then the relation R uu R' is (i) Reflexive (ii) Symmetric (ii) Transitive (iv) none of these

If R is a symmetric relation on a set A, then write a relation between R and R^(-1) .

If R is a symmetric relation on a set A , then write a relation between R and R^(-1) .

If R_1 and R_2 are equivalence relations in a set A, show that R_(1) cap R_2 is also an equivalence relation.

If relation R defined on set A is an equivalence relation, then R is

If R is a relation from a set A to t B and S is a relation form B to a set C then the relation S o R

If R and S are relations on a set A , then prove the following : R and S are symmetric RnnS and RuuS are symmetric R is reflexive and S is any relation RuuS is reflexive.

If R and S are relations on a set A , then prove the following: R and S are symmetric =>RnnS and RuuS are symmetric (ii) R is reflexive and S is any relation =>RuuS is reflexive.