To determine which of the numbers -13, 0, or 13 is an integer that does not belong to either subset of integers, we need to clarify what the subsets are.
Generally, integers can be categorized into two common subsets:
- Negative integers: which include all negative whole numbers (e.g., -1, -2, -3, ...).
- Non-negative integers: which include zero and all positive whole numbers (e.g., 0, 1, 2, 3, ...).
Now, let's analyze the given numbers:
- -13: This is a negative integer.
- 0: This is a non-negative integer (it's neither negative nor positive).
- 13: This is a positive integer (and also part of the non-negative integers).
Based on these classifications:
- -13 belongs to the negative integers subset.
- 0 belongs to the non-negative integers subset.
- 13 belongs to the non-negative integers subset.
Since all three numbers are indeed integers, each belongs to a subset of integers. However, if we think of another common subset scheme, which distinguishes between positive integers (1, 2, 3, ...) and non-positive integers (negative integers and zero), we see that the number that stands out is 0, as it is neither a positive integer nor a negative integer.
Thus, in the context of typical integer subsets, if we consider the positive integers and negative integers without including zero, the number that does not belong to either of the traditionally recognized subsets of positive or negative integers is 0.
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