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The statement is False.
For this, it is enough to show a case in which the subtraction of two positive numbers is negative.
For this, we must choose two numbers.
Suppose we want to subtract the following numbers:
Number 1: 5
Number 2: 10
Subtracting both numbers we have:
We observe that the result is negative. Therefore, the given conclusion is false.
Answer:
Counterexample: