Answer:
Explanation:
In the set-builder notation, the set C that contains the elements {-9, -6, -3, 3, 6, 9} can be written as:
C = {x | x ∈ Z and x ∈ {-9, -6, -3, 3, 6, 9}}
where "x" is a variable, "Z" represents the set of integers, and the expression "x ∈ {-9, -6, -3, 3, 6, 9}" specifies that x can only take on the values of -9, -6, -3, 3, 6, or 9.
Alternatively, we can write it as:
C = {-9, -6, -3, 3, 6, 9}
This notation is used to express a set of elements that have a common property or belong to a specific category, it makes it easy to understand and to read what the set consists of.