Question: Let a X, s < r, V = {x X : s < p(x, a) < r), and E = {x X

Let a ∈ X, s < r,
V = {x ∈ X : s < p(x, a) < r), and E = {x ∈ X : s < p(x, a) < r).
Prove that V is open and E is closed. _

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