When a negative integer is subtracted from a positive integer, the result is always greater than .
Let be a positive integer and be the negative integer.
Now, subtract from .
To subtract an integer, we add its additive inverse.
Therefore,
[Additive inverse of is ]
[Positive integer]
Thus, when a negative integer is subtracted from a positive integer, the result is always greater than .
Hence, the given statement is true.