Answer
x ∈ Z
Step-by-step explanation
We are asked to represent the numbers {-8, -7, -6, -5, -4} in set builder notation.
First, we can recognize that all of the numbers are integers; that is to say that their absolute values are all whole numbers. This can be notated as:
x ∈ Z
'∈' means 'is an element of', and 'Z' means 'a set of all integers'
Note that the variable x represents all the numbers in the set.
Next, we can define exactly which integers are in the set. We can see that the numbers go from -8 to -4. This can be notated as:
-8 ≤ x ≤ -4
Finally, we can put these two pieces together with a vertical slash in between them that means "such that".
-8 ≤ x ≤ -4
This reads:
"x is an element of the set of integers such that x is greater than or equal to -8 and less than or equal to -4"