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# unit 2 dq - The set(2,3,5,7 is NOT a proper subset...

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Hello professor and class, If every member of one set is also a member of a second set, then the first set is said to be a subset of the second set. Usually, it turns out that the first set is smaller than the second, but not always. The definition of "subset" allows the possibility that the first set is the same as (equal to) the second set. But a "proper subset" must be smaller than the second set. Example 1: The set (2,3,5,7) is a subset of (2,3,5,7).
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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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