If `R` and `S` are transitive relations on a set `A ,` then prove that `RuuS` may not be a transitive relation on `Adot`

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

Define a transitive relation.

Define a transitive relation.

Define a transitive relation.

Definition of Transitive relation

If R and S are two equivalence relation on the set then prove that RcapS is also an equivlaence relation on the set.

Let A={1,2,3} and R={(1,2),(1,1),(2,3)} be a relation on A . What minimum number of ordered pairs may be added to R so that it may become a transitive relation on Adot

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.

Let R and S be two relations on a set A. If (iii). R and S are both transitive on A prove that R cap S is transitive but R cup S is not necessarily transitive on A.