Question

Which of the following is true when you subtract integers?(1 point) Responses 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. A positive integer minus a negative integer will always have a positive solution. 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.

Answer 1

Let's analyze the statements about subtracting integers:

1. **A negative integer minus a negative integer will always have a negative solution.**
- This is **false**. For example, if you take -2 - (-3), the result is -2 + 3 = 1, which is positive.

2. **A positive integer minus a negative integer will always have a positive solution.**
- This is **true**. Subtracting a negative integer is equivalent to adding its absolute value. For example, 5 - (-3) = 5 + 3 = 8, which is positive.

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

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

So, the only true statement is: **A positive integer minus a negative integer will always have a positive solution.**