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The real number system can be sliced and diced in an infinite number of ways. In other words, you can't list all the different sets of numbers in the real number system. However, here are some of the commonest:

  • the real number system itself (on the grounds that every set is a subset of itself)
  • the integers
  • the whole numbers: 1, 2, 3, ...
  • the even number: ..., -6, -4, -2, 0, 2, 4, 6, ...
  • the rational numbers
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Q: What are the different sets of number under the real number system?
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