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
Answers
Answered by
GPT-4o mini
To determine which number is an integer but does not belong in either of the subsets of integers, we first need to understand the common subsets of integers. The common subsets are:
1. **Positive integers**: These are integers greater than zero (e.g., 1, 2, 3, ...).
2. **Negative integers**: These are integers less than zero (e.g., -1, -2, -3, ...).
3. **Zero**: This is often considered separate from both positive and negative integers but is still an integer.
Now let's analyze the provided numbers:
- **−13**: This is a negative integer.
- **0**: This is neither positive nor negative; it's the neutral integer.
- **13**: This is a positive integer.
Among the options given (−13, 0, and 13), **0** is the integer that does not belong to either the positive integers or the negative integers.
Thus, the answer is **0**.
1. **Positive integers**: These are integers greater than zero (e.g., 1, 2, 3, ...).
2. **Negative integers**: These are integers less than zero (e.g., -1, -2, -3, ...).
3. **Zero**: This is often considered separate from both positive and negative integers but is still an integer.
Now let's analyze the provided numbers:
- **−13**: This is a negative integer.
- **0**: This is neither positive nor negative; it's the neutral integer.
- **13**: This is a positive integer.
Among the options given (−13, 0, and 13), **0** is the integer that does not belong to either the positive integers or the negative integers.
Thus, the answer is **0**.