3. Let X be a metric space, a E X, s < r, V = {x EX:...

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3. Let X be a metric space, a E X, s < r, V = {x EX: s < p( x,

a) < r}, and E = {x EX: s :s; p( x,

a) :s; r}.

Prove that V is open and E is closed.

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