Question

Select a counter-example that makes the conclusion false.

Answer 1

Conclusion : the difference of 2 positive numbers is always positive.
7 - 3 = 4, 8 - 5 = 3, 9 - 8 = 1

Counter example : 3 - 7 = -4 , 5 - 8 = -3, 8 - 9 = -1

Answer 2

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:

$5 - 10 = -5$

We observe that the result is negative. Therefore, the given conclusion is false.

Answer:

Counterexample:

$5-10 = -5$