Question
Suppose that the relation S is defined as follows. S= (7,q),(4,n),(4,m) Give the domain and range of S. Write your answers using set notation. domain= range=
Solution
4.2
(278 Votos)
Claudio
Avançado · Tutor por 1 anos
Resposta
The domain of S is {7, 4} and the range of S is {q, n, m}.
Explicação
## Step 1The domain of a relation is the set of all first elements in the ordered pairs. In this case, the first elements are 7 and 4.## Step 2The range of a relation is the set of all second elements in the ordered pairs. In this case, the second elements are q, n, and m.## Step 3We need to ensure that each element in the domain and range is unique. In the domain, 7 and 4 are unique, so we can use them as is. In, q, n, and m are unique, so we can use them as is.