I know that I much show each side is a subset of the other, but i am not sure where to start.
2026-03-25 13:55:11.1774446911
How do I prove this for a borel sigma algebra on R?
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Hints:
(i) $(-\infty,y)= \underset{n\in \mathbb{N}}{\cup}[-n,y)$
(ii) $[x,y)= (-\infty,y) \setminus \Big(\underset{n\in \mathbb{N}}{\cup}(-\infty,x-\frac{1}{n})\Big) $