Which of the following numbers, which is an integer but does not belong in either subsets of integers: - 13, 0, or 13?

1 answer

The numbers you provided are -13, 0, and 13, all of which are integers. However, if the question refers to subsets of integers, we typically consider:

  1. The set of positive integers (natural numbers) which includes 1, 2, 3, etc.
  2. The set of negative integers, which includes -1, -2, -3, etc.

In that context:

  • -13 belongs to the set of negative integers.
  • 0 is usually not categorized as either a positive or a negative integer.
  • 13 belongs to the set of positive integers.

Thus, the number that does not belong to either the set of positive integers or the set of negative integers is 0.