To determine which of the numbers -13, 0, or 13 is an integer but does not belong to either of the subsets of integers, we first need to clarify what you mean by "subsets of integers."
The integers consist of all whole numbers, both positive and negative, including zero. Therefore, the set of integers is: \[ { ..., -3, -2, -1, 0, 1, 2, 3, ... } \]
Based on this definition, all three numbers you provided (-13, 0, and 13) are integers:
- -13 is a negative integer.
- 0 is an integer that is neither positive nor negative.
- 13 is a positive integer.
Since all three numbers are integers, you might be referring to a specific subset of integers, such as positive integers (1, 2, 3, ...) or negative integers (..., -3, -2, -1).
In that case:
- If the subset of negative integers is considered, -13 would belong to that set.
- If the subset of positive integers is considered, 13 would belong to that set.
- 0 does not belong to either subset (positive or negative integers).
Based on this reasoning, 0 is an integer but does not belong to either subset of positive or negative integers.
1 answer