Question: Prove that if V is open in a separable metric space X, then there are open balls B1, B2,... such that Prove that every open

Prove that if V is open in a separable metric space X, then there are open balls B1, B2,... such that
Prove that if V is open in a separable metric

Prove that every open set in R is a countable union of open intervals.

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