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S is a proper subset of T if

  • all elements of S are in T and
  • there is at least one element of T which is not in S.

S is an improper subset if the second condition does not apply.
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Q: What is the difference between proper and improper subsets?
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How do you convert proper fractions into improper fractions?

You cannot. They are two disjoint subsets of rational numbers.


What is the definition of subsets and proper subsets?

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Can you form a formula that will tell how many subsets a set with union elements can have?

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