Question

A={a,b,q}, B={2,3}and C={p,q,r,s}then which of the following statement is true
a)(A×C)c(B×D)
B)(A×B)c(A×D)
c)(B×D)c(A×C)
d)(D×A)c(B×A)​

Answer 1

Explanation:

(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.