Unformatted text preview: The set (2,3,5,7) is NOT a proper subset of (2,3,5,7). • The set (2,3,5) is a proper subset of (2,3,5,7). Can any set be a proper subset of itself, give an example of why or why not? No, A proper subset is a subset that contains some BUT NOT ALL elements of the original set. A set cannot be a proper subset of itself. This is because of the definition of proper subset. If a set B=A is a proper subset of itself (A), then A=B and B A, meaning A A. ≠ ≠...
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- Spring '11
- Set Theory, Empty set, Natural number