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For each part, give an example of sets A and B satisfying the conditions, or explain why it is impossible. A set is called countably
For each part, give an example of sets A and B satisfying the conditions, or explain why it is impossible. A set is called countably infinite if it is both countable and infinite.
(a) A is a proper subset of B, A is countably infinite, B is countably infinite (b) A is a proper subset of B, A is uncountable, B is countably infinite
(c) A is a proper subset of B, A is countable, B is uncountable (d) A is a proper subset of B, A is countably infinite, B is uncountable
(e) A is a proper subset of B, A is uncountable, B is uncountable
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