Let A be a finite set. Then, each injective function from A into itself is not surjective. True/False...give reasons

Dea Student 
Answer is False
Let SS be the set of all triangles and R+R+ be the set of positive real numbers. Then the function f:S→R+,f(Δ)=areaofΔ,where∈S,f:S→R+,f(Δ)=areaofΔ,where∈S, is injective but not surjective. surjective but not injective injective as well as surjective neither injective nor surjective

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