Final answer:
The set -3, -2, -1, 0, 1, 2, 3, 4, 5 is represented in set builder notation as x , which denotes all integers from -3 to 5 inclusive.
Step-by-step explanation:
The set described by the elements -3, -2, -1, 0, 1, 2, 3, 4, 5 can be expressed in set builder notation as follows:
x
This notation reads as "the set of all x such that x is an integer and x is greater than or equal to -3 and less than or equal to 5". In set builder notation, we use a vertical bar or colon to separate the variable from its describing statement or condition. ∈ represents the 'element of' sign and ℤ denotes the set of all integers. In this case, the given set includes integers that satisfy the condition that they are between -3 and 5, inclusive.