Question

suppose that the relation ( t ) is defined as follows. ( t = {(9, m), (5, q), (9, n)} ) give the domain and range of ( t ). write your answers using set notation.

Explanation:

Step1: Identify the domain

The domain of a relation is the set of all first elements (x - values) in the ordered pairs. From the relation \( T = \{ (9, m), (5, q), (9, n) \} \), the first elements are 9, 5, and 9. We list each unique element, so the domain is the set containing 5 and 9.

Step2: Identify the range

The range of a relation is the set of all second elements (y - values) in the ordered pairs. From the relation \( T = \{ (9, m), (5, q), (9, n) \} \), the second elements are m, q, and n. We list each unique element, so the range is the set containing m, q, and n.

Answer:

domain: \(\{5, 9\}\)
range: \(\{m, q, n\}\)