Question

What is a counterexample for the statement the difference between two integers is always positive

Answer 1

We have to give counter example for the given statement:

"The difference between two integers is always positive"

This statement is not true. As integers is the set of numbers which includes positive and as well as negative numbers including zero.

Consider any two integers say '2' and '-8'. Now, let us consider the difference between these two integers.

So, 2 - 8

= -6 which is not positive.

Therefore, it is not necessary that the difference of two integers is only positive. The difference of two integers can be positive, negative or zero.