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State the relation as a set of ordered pairs. Determine the domain and range of the relation.

Option 1: (31, Jan)
Option 2: (Feb, 28)
Option 3: (Mar, 31)
Option 4: (30, Apr)

User Paz
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1 Answer

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Final answer:

The relation can be represented as R = {(31, 'Jan'), ('Feb', 28), ('Mar', 31), (30, 'Apr')}. The domain of R is {31, 'Feb', 'Mar', 30}, and the range is {'Jan', 28, 31, 'Apr'}.

Step-by-step explanation:

The question involves expressing a relation as a set of ordered pairs and determining the domain and range. With the given options:

  • Option 1: (31, Jan)
  • Option 2: (Feb, 28)
  • Option 3: (Mar, 31)
  • Option 4: (30, Apr)

Firstly, we rewrite the options in the correct format for ordered pairs, which is (x, y). For Options 1 and 3, the number (which could represent a day) is the first element, and for Options 2 and 4, the month is the first element. The relation in terms of ordered pairs would be: R = {(31, 'Jan'), ('Feb', 28), ('Mar', 31), (30, 'Apr')}.

The domain is the set of all the first elements in the ordered pairs, so the domain of R is {31, 'Feb', 'Mar', 30}, and the range is the set of all second elements, which is {'Jan', 28, 31, 'Apr'}.

User Paul Hargreaves
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