Final answer:
A positive integer is always greater than its opposite (negative counterpart), making the statement in the question true.
Step-by-step explanation:
The statement 'A positive integer is greater than its opposite' is true. An opposite of a number is the same number with a negative sign. For example, the opposite of 5 is -5. According to the rules of ordering for numbers, any positive number is greater than any negative number. Therefore, a positive integer is always greater than its negative counterpart.
Learn more about Positive and Negative Integers