Final answer:
The complement of the union of set A (all university students) and set B (people in California), denoted as (A ⋃ B)', includes all individuals in the universal set U (all people in the USA) who are not university students and do not live in California.
Step-by-step explanation:
When working with sets, the union of sets A and B, denoted as A ⋃ B, includes all elements that are in set A, set B, or in both. In the context of your question, set A consists of all university students, and set B consists of people in California. The union would consist of all university students and all people in California, including those who are both university students and live in California.
The complement of a set A, denoted as A', consists of all elements in the universal set U that are not in set A. Similarly, the complement of the union of sets A and B, denoted as (A ⋃ B)', consists of all elements in the universal set U that are neither in set A nor in set B. Given that U represents all people in the USA, (A ⋃ B)' includes all people in the USA who are neither university students nor live in California.