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What are examples of a proper subset?

Updated: 4/28/2022
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11y ago

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The set {1, 3} is a proper subset of {1, 2, 3}.

The set {a, b, c, d, e} is a proper subset of the set that contains all the letters in the alphabet.

All subsets of a given set are proper subsets, except for the set itself. (Every set is a subset of itself, but not a proper subset.) The empty set is a proper subset of any non-empty set.

This sounds like a school question. To answer it, first make up any set you like. Then, as examples of proper subsets, make sets that contain some, but not all, of the members of your original set.

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Why can a proper subset be a subset of itself?

Because every set is a subset of itself. A proper subset cannot, however, be a proper subset of itself.


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Since ASCII ⊊ unicode, I don't know if there are ASCII codes for subset and proper subset. There are Unicode characters for subset and proper subset though: Subset: ⊂, ⊂, ⊂ Subset (or equal): ⊆, ⊆, ⊆ Proper subset: ⊊, ⊊,


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A subset of a set S can be S itself. A proper subset cannot.


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Proper subset definitionA proper subset of a set A is a subset of A that is not equal to A. In other words, if B is a proper subset of A, then all elements of B are in Abut A contains at least one element that is not in B.For example, if A={1,3,5} then B={1,5} is a proper subset of A. The set C={1,3,5} is a subset of A, but it is not a proper subset of A since C=A. The set D={1,4} is not even a subset of A, since 4 is not an element of A.


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No. The null set cannot have a proper subset. For any other set, the null set will be a proper subset. There will also be other proper subsets.


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