Explore BrainMass

Real analysis - countable

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

© BrainMass Inc. brainmass.com June 23, 2018, 8:16 am ad1c9bdddf

Solution Preview


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.