B is countable.
2. Show that any set, A, of cardinality c contains a subset, B, that is
denumerable.
3. Show that the irrational numbers have a cardinality c.
D.
Mathematics Homework Solutions
#60252
4 Problems
(See attached file for full problem description)
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1. Show that if A and B are countable and disjoint, then A B is countable.
2. Show that any set, A, of cardinality c contains a subset, B, that is denumerable.
3. Show that the irrational numbers have a cardinality c.
4. Show that if A is equivalent to B and C is equivalent to D, then A C is equivalent to B D.
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