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Given A = {2, 3, 4}, B = {2, 5, 6, 7}. Construct an example of each of the following:A mapping from A to B which is not injective |
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Answer» One – One Function: – A function f : A → B, is said to be a one – one functions or an injection if different elements of A have different images in B. So, f : A → B, is One – One function ⇔ a≠b ⇒ f(a)≠f(b) for all a, b ∈ A ⇔ f(a) = f(b) ⇒ a = b for all a, b ∈ A Now, f : A → B, denotes a mapping such that f = {(2,2),(3,5),(4,5)} Hence this is not injective mapping |
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