Question

Of the following numbers, which is an integer but does not belong in either of the subsets of integers: −13 , 0, or 13?(1 point)

Answer 1

To determine which number is an integer but does not belong in either of the subsets of integers, we first define two common subsets of integers:

1. **Negative integers**: This subset includes all the integers less than zero, like -1, -2, -3, and so on.
2. **Non-negative integers**: This subset includes all integers that are zero or greater, like 0, 1, 2, 3, and so on.

Now, let's evaluate the given numbers:

- **−13**: This is a negative integer.
- **0**: This is a non-negative integer.
- **13**: This is a positive integer and therefore also a non-negative integer.

Since −13 is a negative integer and 0 and 13 are both non-negative integers, all three numbers indeed belong to the subsets of integers. However, in this specific context, considering "negative integers" and "non-negative integers," the number 0 does not fit neatly into just one of these subsets since it is neither negative nor positive.

Given that all numbers are integers and considering the context of subsets, we can conclude that **0** is the integer that stands out, as it is neither a negative integer nor a strictly positive integer.

Thus, the answer is **0**.