What is the domain of the following relation: (3, 5), (8, 6), (2, 1), (8, 6)?

The domain of a relation consists of all the first elements (or inputs) from each ordered pair in that relation. In this case, the relation provided is:

  • (3, 5)
  • (8, 6)
  • (2, 1)
  • (8, 6)

To determine the domain, we extract the first elements from each pair:

  • 3 from the pair (3, 5)
  • 8 from the pair (8, 6)
  • 2 from the pair (2, 1)
  • 8 from the pair (8, 6) again (which has already been counted)

Thus, the first elements collected are: 3, 8, 2. Since sets do not allow duplicate values, we will only list each unique first element once. Therefore, the domain of the given relation is:

  • 2
  • 3
  • 8

In summary, the domain of the relation is {2, 3, 8}.

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