To understand the statement, let’s first clarify what it means to find the difference between two integers. The difference is calculated by subtracting one integer from another.
When we have two negative integers, say -a and -b (where a and b are positive integers), the difference can be expressed as:
-a – (-b) = -a + b
Now, the outcome of this operation depends on the values of a and b. If b is greater than a, the result will be positive since we are adding a positive integer (b) to a negative integer (-a). Conversely, if a is greater than b, the result will be negative since we’ll be subtracting a larger positive value from the negative value. Therefore, the difference of two negative integers can be either negative or positive, depending on their absolute values.
In conclusion, it is not accurate to say that the difference of any two negative integers is always a negative integer because the result can vary based on their magnitudes. Thus, the original statement is incorrect.