Q. 21 A5.0( 3 Votes )

Given A = {2, 3, 4}, B = {2, 5, 6, 7}. Construct an example of each of the following:

an injective map from A to B

Answer :

TIP: One – One Function: – A function is said to be a one – one functions or an injection if different elements of A have different images in B.


So, is One – One function


a≠b


f(a)≠f(b) for all


f(a) = f(b)


a = b for all


Now, f : A B, denotes a mapping such that


f = {(x,y):y = x + 3}


It can be written as follows in roster form


f = {(2,5),(3,6),(4,7)}


Hence this is injective mapping


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