(14) [3 points]
Let A = {a, b} and B = {1, 2, 3}. How many elements are in each of the following sets? Explain.
(a) A × B
(b) the set of all relations from A to B
(15) [5 points]
The relation R below is on the set A = {1, 2, 3, 4}. Complete the table below, by checking the one box in each row
that describes the relation.
R={ (1,1), (3,3), (4,4), (3,4), (4,3) }
Reflexive
Symmetric
Antisymmetric
Transitive
Ris
R is not
(16) [3 points]
Give an example of a (nonempty) relation R on the set A = { x, y, z), such that R is reflexive, symmetric, and
transitive.
R =