Question

If A = {x,y,z}, B = { p,q,r,s } which of the relation on A B are function.
a) {(x,p), (x,q) (y,r), (z,s) }
b) {(x,s), (y,s) (z,s) }
c) { [y.p), (y.9), (y,r), (z,s) }
d) {(x,p), (y.r.), (y,s)}.​

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.

Answer 2

Answer:

d) {(x,p), (y.r.), (y,s)}.

Step-by-step explanation:

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