To find the inverse of a relation, the coordinates in each ordered pair are swapped. Given the relation:

$\{(-9, -8), (-7, 7), (8, 9), (5, -5)\}$

The inverse is found by interchanging the x and y values of each pair:

$\{(-8, -9), (7, -7), (9, 8), (-5, 5)\}$

Thus, the inverse is:

$\{(-8, -9), (7, -7), (9, 8), (-5, 5)\}$

Would you like me to explain this process in more detail? Here are five related questions to explore:

1. How do you graph a relation and its inverse?
2. What is the geometric interpretation of an inverse relation?
3. How does the process of finding the inverse differ for a function versus a general relation?
4. Can every relation have an inverse? Why or why not?
5. How do you verify that two relations are inverses of each other?

Tip: Swapping the coordinates only gives the inverse relation. To determine if the inverse is also a function, apply the vertical line test.