Let's analyze the statements about subtracting integers:
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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.
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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.
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A positive integer minus a positive integer will always have a positive solution.
- This is false. For example, 3 - 5 = -2, which is negative.
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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.