Question

For the following relation on the set {x:x∈Ζ and 1 ≤ x ≤ 12}. List 

(a) the ordered pairs belonging to the relation:
(b) the transitive closure

R = {(x, y): xy = 9}

Answer 1

a)

$R=\{(1,9),(3,3),(9,1)\}$

b)

$R^t=\{(1,9),(3,3),(9,1),(1,1)\}$