Question: (i) Show that non-void open sets in (mathbb{R}) (resp. (mathbb{R}^{n}) ) have always strictly positive Lebesgue measure. [let (U) be open. Find a small ball

(i) Show that non-void open sets in \(\mathbb{R}\) (resp. \(\mathbb{R}^{n}\) ) have always strictly positive Lebesgue measure.

[let \(U\) be open. Find a small ball in \(U\) and inscribe a square.]

(ii) Does your answer to part (i) hold also for closed sets?

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