Question

Let A = {a,b} & R = {(a,b)(b, a)(b,b}} S = Comment on the result. {(a, a)(b, a)(b,b}} be relations in A. Find R.S and S.R ​

Answer 1

Answer:

hey mate,

Let A={a , b , c) and the relation R be defined

on A as follows: R={(a , a),(b , c),(a , b)}dot

Then, write minimum number of ordered pairs

to be added in R to make it reflexive and

transitive.

Here, A={a,b,c}.

R={(a,a),(b,c),(a,b)}

Now, to make R reflexive, we should add (b,b),(c,c).

∴R={(a,a),(b,c),(a,b),(a,a),(b,b)}.

Now, R is reflexive.

Now, R contains (a,b),(b,c), but do not have (a,c).

So, we have to add (a,c) to make R transitive.

∴R={(a,a),(b,c),(a,b),(a,a),(b,b),(a,c)}.

Now, R is transitive and reflexive.

Step-by-step explanation:

this is a similar example can u say chapter name?

and asking next time question pls mention chapter name.

thank you friend