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

Question

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 analyze the statements regarding subtraction of integers:

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

   • This is false. For example, \(5 - 3 = 2\) (positive), but \(3 - 5 = -2\) (negative).

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

   • This is false. For example, \(-2 - 3 = -5\) (negative).

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

   • This is false. For example, \(-3 - (-5) = -3 + 5 = 2\) (positive).

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

   • This is true. For example, \(5 - (-3) = 5 + 3 = 8\) (positive).

Based on the analysis, the only true statement is:

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