5. Let X and Y be nonempty sets and let h X x Y →→R have bounded range in R. Let f : X → R and g: YR be defined by Prove that f(x)= sup{h(x, y) : y ЄY}, g(y) = inf{h(x, y) : x Є X}. sup{g(y) y ЄY} ≤ inf{f(x): x = X}.

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Q: Define f: Z x Z→ Z x Z by f((m, n)) = (3, 2n). Let A = {(n, 0): n ∈Z}. Fina f(A).

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