To find the domain of the relation, we look at all the unique x-values in the set of ordered pairs. The domain consists of all the first elements of each pair.

The relation provided is: $\{(-9, -4), (-4, 3), (-6, 3), (-6, -5), (-9, 0)\}$

Let's list the x-values:

• From $(-9, -4)$, the x-value is $-9$.
• From $(-4, 3)$, the x-value is $-4$.
• From $(-6, 3)$, the x-value is $-6$.
• From $(-6, -5)$, the x-value is $-6$ (already included).
• From $(-9, 0)$, the x-value is $-9$ (already included).

The unique x-values are $-9$, $-4$, and $-6$.

So, the domain in set notation is: $\{-9, -4, -6\}$

Would you like further details or have any questions?

Here are some additional questions for further exploration:

1. What is the range of this relation?
2. How do we find the domain of a relation represented as an equation?
3. Can a relation have repeated values in its domain?
4. What distinguishes a function from a general relation?
5. How would you represent this relation as a graph?

Tip: Always check for repeated values in the domain to avoid redundancy when listing unique x-values in set notation.