1. The problem asks to find the inverse of the relation given by the set of ordered pairs $\{(-9, 10), (1, -3), (8, -5)\}$. 2. The inverse of a relation is found by swapping the $x$ and $y$ coordinates in each ordered pair. 3. Applying this rule, we swap each pair: - $(-9, 10)$ becomes $(10, -9)$ - $(1, -3)$ becomes $(-3, 1)$ - $(8, -5)$ becomes $(-5, 8)$ 4. Therefore, the inverse relation is $\{(10, -9), (-3, 1), (-5, 8)\}$. 5. Comparing this to the answer options, the correct choice is the green button: $\{(10, -9), (-3, 1), (-5, 8)\}$.