Question

Let A ={a,b,c} and the relation R be defined on A as follows.
R ={(a,a),(b,c),(a,b)}

Then, write the ordered pairs to be added in R to make R reflexive and transitive.

Answer 1

Given relation, R ={(a,a),(b,c),(a,b)}.

To make R is reflexive we must add (b,b) and (c,c) to R. Also, to make R is transitive we must and (a,c)to R.

So, the ordered pairs to be added are (b,b),(c,c),(a,c).