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    Intersection of Sets Homework: Nonemptiness?

    Homework Statement let A_{1}, A_{2}, ... be a sequence of subsets of R such that the intersection of the A_{1}, A_{2}, A_{3}..., A_{n} is nonempty for each n greater than/equal to 1. Does it follow that the intersection of all A_{n}'s is nonempty? Does the answer change if you are given...
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