Question

Which of the following is true when you subtract integers?(1 point)
Responses

A positive integer minus a positive integer will always have a positive solution.
A positive integer minus a positive integer will always have a positive solution.

A negative integer minus a positive integer will always have a positive solution.
A negative integer minus a positive integer will always have a positive solution.

A negative integer minus a negative integer will always have a negative solution.
A negative integer minus a negative integer will always have a negative solution.

A positive integer minus a negative integer will always have a positive solution.

Answer 1

Let's evaluate each statement related to subtracting integers:

1. **A positive integer minus a positive integer will always have a positive solution.**
- This is **false**. For example, \(3 - 5 = -2\), which is negative.

2. **A negative integer minus a positive integer will always have a positive solution.**
- This is **false**. For example, \(-3 - 5 = -8\), which is negative.

3. **A negative integer minus a negative integer will always have a negative solution.**
- This is **false**. For example, \(-5 - (-3) = -5 + 3 = -2\), which is still negative, but \(-3 - (-5) = -3 + 5 = 2\), which is positive.

4. **A positive integer minus a negative integer will always have a positive solution.**
- This is **true**. For example, \(3 - (-2) = 3 + 2 = 5\), which is positive.

Based on the analysis, the last statement is the only one that is true:

**A positive integer minus a negative integer will always have a positive solution.**