Question

Let R1={(1,2),(2,3),(3,4)} and R2={(1,1),(1,2),(2,1),(2,2),(2,3),(3,1),(3,2),(3,3),(3,4)} be relations from {1,2,3} to {1,2,3,4}. Find

Answer 1

Step-by-step explanation:

(i) R but not S as (2, 1)∈R

1

but (1, 2)∈

/

R

1

not T as (2, 1) and (1, 3) ∈R

1

but (2, 3) ∈

/

R

1

(ii)



=R as all like pairs are not there. It is S but not T as (3, 1) and (1, 3) ∈R

2

but (3, 3) ∈

/

R

2

(iii)



=R,



=S but it is T.

(iv) R, S, T all as A×A contains all possible ordered pairs.