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Let A be the set {1,2,3,4}

B is {1,2} and B is a proper subset of A

C is {1} and C is also a proper subset of A.

B and C are proper subsets of the set A because they are strictly contained in A. necessarily excludes at least one member of A.

The set A is NOT a proper subset of itself.

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Q: What is an example of a proper subset?
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