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Math Help - Disjoint subsets countable

  1. #1
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    Disjoint subsets countable

    Hey, I was wondering if someone could help me prove the following.

    Let T be a collection of disjoint, open subsets of the real line. Show that T is countable.
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  2. #2
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    Each of the intervals contains a rational number.
    The rationals are countable.
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