Question

Let f : [a,b] → R and g : [a,b] → R be two bounded functions....

Let f : [a,b] → R and g : [a,b] → R be two bounded functions. Suppose f ≤ g on [a,b].

Hints

∀a ∈ A ∃b ∈ B s.t. a ≤ b, then supA ≤ supB

∀a∈A ∃b∈B s.t. a≥b,
then infB≤infA.

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