Explore BrainMass

Explore BrainMass

    Real analysis - countable

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    Proof:
    if A subset or equal of B and B is countable, then A is either countable, finite or empty.

    © BrainMass Inc. brainmass.com March 6, 2023, 1:27 pm ad1c9bdddf
    https://brainmass.com/math/real-analysis/real-analysis-countable-25356

    Solution Preview

    proof:

    Since A is a subset of B or equal to B, then |A|<=|B|, where |.| means the number of elements in a set. Since B is countable, then |B| ...

    Solution Summary

    This is a proof regarding countable sets.

    $2.49

    ADVERTISEMENT