The difference of two positive integers is always negative.

1. True

2. False

False

The difference of two positive integers is never negative. It will always be a positive number or zero. To understand why, let's consider two positive integers: a and b, where a > b.

The difference between a and b is calculated by subtracting b from a, which can be written as a - b. If a is greater than b, then the result of this subtraction will be a positive number. For example, if a = 9 and b = 4, then the difference a - b = 9 - 4 = 5, which is a positive number.

Therefore, the statement "The difference of two positive integers is always negative" is false.

The statement "The difference of two positive integers is always negative" is false.

When you subtract a smaller positive integer from a larger positive integer, the result will always be a positive number or zero, but never negative.