suppose that the relation $s$ is defined as follows.$s = \\{(7, p), (8, m), (0, 7), (8, q)\\}$give the…

suppose that the relation $s$ is defined as follows.$s = \\{(7, p), (8, m), (0, 7), (8, q)\\}$give the domain and range of $s$.write your answers using set notation.domain: $square$range: $square$

suppose that the relation $s$ is defined as follows.$s = \\{(7, p), (8, m), (0, 7), (8, q)\\}$give the domain and range of $s$.write your answers using set notation.domain: $square$range: $square$

Answer

Answer:

domain: ${0, 7, 8}$ range: ${p, m, 7, q}$

Explanation:

Step1: Identify domain elements

The domain of a relation is the set of all first elements (x-coordinates) from the ordered pairs. $$S = {(7, p), (8, m), (0, 7), (8, q)}$$ The first elements are $7, 8, 0, 8$.

Step2: Write domain in set notation

Collect unique first elements into a set. $$\text{domain} = {0, 7, 8}$$

Step3: Identify range elements

The range of a relation is the set of all second elements (y-coordinates) from the ordered pairs. $$S = {(7, p), (8, m), (0, 7), (8, q)}$$ The second elements are $p, m, 7, q$.

Step4: Write range in set notation

Collect unique second elements into a set. $$\text{range} = {p, m, 7, q}$$