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Take any set; this set and its complement are mutually exclusive. Here are some examples:

  • Negative and non-negative (i.e., positive and zero) numbers
  • Rational and Irrational Numbers
  • Integers and non-integers
  • Algebraic and transcendental numbers

You can also take a set and its complement from a smaller universe; these would also be mutually exclusive. For example:

  • Even and odd numbers (only includes integers)
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Q: What are two subsets of real numbers that are mutually exclusive?
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