- #1

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## Main Question or Discussion Point

I am asked to prove that any bounded open subset of R is the union of disjoint open intervals.

If S = open interval (a,b), I don't really see how this could be the case (there will always be points in S that are not in the union of the disjoint sets).

If S = open interval (a,b), I don't really see how this could be the case (there will always be points in S that are not in the union of the disjoint sets).