Which of the following are sets? Justify our answer. (i) The collection of all even integers. (ii) The collection of questions in this Chapter.
Which of the following are sets? Justify our answer. (i) The collection of all even integers. (ii) The collection of questions in this Chapter.

Solution:

(i) The collection of all even integers can be considered as well-defined collection.

Since an integer which belongs to this collection can be found by anyone.

As a result, this collection can be considered a set.

(ii) The collection of questions in this Chapter can be considered as well-defined collection.

Since a question which belongs to this chapter can be found by anyone.

As a result, this collection can be considered a set.