Given, `A = {2,3,4}, B={2,5,6,7}`. Construct an example of each of the following
(i) an injective mapping from A to B.
(ii) a mapping from A to B which is not injective.
(iii) a mapping from B to A.

Answer

N/a

Explanation

Given that, `A={2,3,4}, B={2,5,6,7}`
(i) Let `f:A to B` denote a mapping
`f ={(x,y):y=x+3}`
i.e., `f={(2,5),(3,-6),(4,7)},` which is an injective mapping.
(ii) Let `g:A to B ` denote a mapping such that `g={(2,2),(3,5),(4,5)},` which is not an injective mapping.
(iii) Let `h:B to A` denote a mapping such that `h={(2,2),(5,3),(6,4),(7,4)},` which is a mapping from B to A.