Question

2.1 hw - basic set concepts
question 39, 2.1.124
hw score: 92.5%, 37 of 40 points
points: 0 of 1
determine whether the following statement makes sense or does not make sense, and explain your reasoning.
i used the roster method to express the set of countries that i have visited.
choose the correct answer below.
a. the statement makes sense; the set of countries can be expressed using inequality notation.
b. the statement makes sense; the set of countries can be given as a list of elements.
c. the statement does not make sense; the set is infinite and cannot be expressed using the roster method.
d. the statement does not make sense; the roster method can only be used to express numeric values.

Explanation:

The roster method lists all elements of a set. The set of countries someone has visited is a finite, well-defined collection of specific country names, which can be explicitly listed using the roster method. Option B correctly identifies that the statement makes sense because this set can be given as a list of elements.

Answer:

B. The statement makes sense; the set of countries can be given as a list of elements.