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
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