1. (a) Explain what is meant by the terms countable set and uncountable set. Give a...

1. (a) Explain what is meant by the terms countable set and uncountable set. Give a concrete example of each.

b) Show that if A and B are countably infinite then the set A x B is also countably infinite.

c) Give an expression for the cardinality of set A U B when A and B are both finite sets.

d) What can you say about the cardinality of the set A U B when A and B are infinite sets.

Expert Solution

Colby Messinger answered 2 years ago

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