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Discrete mathematics function relation problem Let P ∗ (N) be the set of all nonempty subsets...

Discrete mathematics function relation problem

Let P ∗ (N) be the set of all nonempty subsets of N. Define m : P ∗ (N) → N by m(A) = the smallest member of A. So for example, m {3, 5, 10} = 3 and m {n | n is prime } = 2.

(a) Prove that m is not one-to-one.

(b) Prove that m is onto.

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