Question: Let n N, let a R, let s, r R with s < r, and set V = {x R: s

Let n ∈ N, let a ∈ R", let s, r ∈ R with s < r, and set
V = {x ∈ R": s < ||x - a|| < r} and E = {x ∈ R" : s < ||x - a|| < r}.
Prove that V is open and E is closed.

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