Let R and S be two non - void relations on a set A.

The void relation on a set A is :

The void relation on a set A is

The void relation on a set A is

Let R and S be two relations on a set A. If (ii) R is reflexive and S is any relation prove that R cup S is reflexive

Let R and S be two equivalence relations on a set A Then : " " A. R uu S is an equvalence relation on A " " B. R nn S is an equirvalence relation on A " " C. R - S is an equivalence relation on A " " D. None of these

Let R and S be two equivalence relations on a set A Then : A. R uu S is an equvalence relation on A B. R nn S is an equirvalenee relation on A C. R - S is an equivalence relation on A D. None of these

Let R and S be two relations on a set A. If (i) R and S are both symmetric on A prove that R cup S and R cup S are also symmetric on A