Question

Tell whether the difference between the two integers is always, sometimes, or never positive:
a positive integer and a negative integer

Answer 1

Step 1: Difference between a positive integer and a negative integer

It is given that one integer is positive while the other is negative.

The difference between a positive integer and a negative integer is positive..

In $a-(-b)$, where $a$ is a positive number and $b$ is a negative number, Then $a-(-b)=a+b=+ve$.

Step 2: Understanding the above using examples

If $2,-3$ are two integers, then

$2-(-3)=2+3=5=+ve[\because$Since, we are subtracting a negative number from a positive number, The difference is positive$]$

Therefore, the difference between a positive integer and a negative integer is always positive.