Final answer:
Using set theory, the correct answer to the student's question is Option B, which states that y is a person living in a state with a border on the Pacific Ocean; it includes people from all states with such borders, including Washington.
Step-by-step explanation:
The question that the student has asked pertains to set theory, which is a part of mathematics. The student is given two sets:
- Set A: x is a person living in Washington
- Set B: y is a person living in a state with a border on the Pacific Ocean
Given the reference information, if someone lives in San Francisco, then they live in California, and if they live in California, this means they are living in a state that has a border on the Pacific Ocean and that they are living in the United States. Hassan, who lives in San Francisco, is therefore living in the United States.
Considering Set A and Set B:
- People living in Washington (Set A) are included in the category of people living in states with a border on the Pacific Ocean (Set B).
- Consequently, all members of Set A are also members of Set B, but not all members of Set B are necessarily in Set A, as Set B could include people from other states like California and Oregon.
The correct statement considering the given sets and the reference information is Option B: y is a person living in a state with a border on the Pacific Ocean because it is more inclusive.