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2. (a) if A and B are finite sets and A is a proper subset of B, what can u say about the cardinalities of the two sets?? (b) if the cardinality of A is less than the cardinality of B, does it follow that A is a proper subset of B?? 3.if A and B have the same cardinality, does it follow that A=B? Explain.

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1. If A is a set, two subsets are set A itself and an empty set { }. 2. (a) The cardinality of A is less than set B. If it is greater than or equal to B's cardinality then it is not a proper subset. (b) Not necessarily since we are not sure if they have the same terms, but it is possible. 3. No since A=B means they are equal - that is exactly the same and wes only have the same cardinality which means they are only equivalent.