Question

If A = {4, 8} and B= {p, q, r), then A x B is equal to
(1) {(4, p), (8, q), (4, q))
(2) {(4, p), (4, r), (8, p). (8, r)}
(3) (4p, 8q), (4r, 8q)}
(4) {(4, p). (4, q), (4, r), (8, p), (8, q), (8, r)}​

Answer 1

Answer:

(A) .(C)

If R is a relation from A to B, then R ⊂(A×B) which consists of all ordered pairs of the type. (x, y) such that x∈A,y∈B.

Clearly, R

1

and R

3

are such sets of A×B. The elements (q, b), of R

2

∈(B×A)and not A×B and the elements (q, b), and (s, b), of R

4

also not belong to A×B and as such R

2

and R

4

are not relations from A to B.