Questions: Eight passengers from the United States aboard an international flight compared their travel experiences. The table gives each passenger's name and the set of foreign countries he or she visited. Using the table, complete the following. (a) Choose a set that is equal to the set of countries that Brian visited. (Choose one) (b) Choose a set that is equivalent, but not equal, to the set of countries that Jose visited. (Choose one)

Eight passengers from the United States aboard an international flight compared their travel experiences.
The table gives each passenger's name and the set of foreign countries he or she visited.
Using the table, complete the following.
(a) Choose a set that is equal to the set of countries that Brian visited.
(Choose one)
(b) Choose a set that is equivalent, but not equal, to the set of countries that Jose visited.
(Choose one)

Transcript text: Eight passengers from the United States aboard an international flight compared their travel experiences. The table gives each passenger's name and the set of foreign countries he or she visited. Using the table, complete the following. (a) Choose a set that is equal to the set of countries that Brian visited. (Choose one) (b) Choose a set that is equivalent, but not equal, to the set of countries that Jose visited. (Choose one)

Solution

Solution Steps

Step 1: Identify the set of countries Brian visited

From the table, Brian's set of visited countries is \( \{Argentina, Kenya, Korea\} \).

Step 2: Choose a set equal to Brian's set

A set equal to Brian's set must contain exactly the same elements: \( \{Argentina, Kenya, Korea\} \). From the table, no other passenger has the exact same set, so the only option is Brian's own set.

Step 3: Identify the set of countries Jose visited

From the table, Jose's set of visited countries is \( \{Zambia, Indonesia\} \).

Step 4: Choose a set equivalent but not equal to Jose's set

A set equivalent to Jose's set must have the same number of elements (2), but the elements must differ. From the table, Lamar's set \( \{Greece, Austria\} \) has the same number of elements but different countries, making it equivalent but not equal to Jose's set.