Question

what is the domain of this relation?
(-4, -3)
(5, -8)
(3, 0)
(8, 10)
(-7, -7)
(5, 6)
{-7, -4, 3, 5, 8} {-7, -4, -3, 0, 3}
{-8, -7, 3, 5, 8, 10} {-8, -7, -3, 0, 6, 10}

Explanation:

Step1: Identify domain values

The domain of a relation is the set of all first elements (x-values) from the ordered pairs. Extract x-values: $-4, 5, 3, 8, -7, 5$

Step2: Remove duplicates, sort values

Eliminate repeated x-values ($5$ appears twice) and sort the remaining values: $-7, -4, 3, 5, 8$

Step3: Format as a set

Write the sorted unique values in set notation: $\{-7, -4, 3, 5, 8\}$

Answer:

$\{-7, -4, 3, 5, 8\}$