Chapter 1.8, Problem 37E

To determine

To find : Whether the sum is always, sometimes, or never negative.

Answer to Problem 37E

The sum of two positive integers is never negative.

Explanation of Solution

Given information :

Consider, the statement provided in the question,

The sum of two positive integers.

:

The sum of two positive integers is never negative and is greater than both the integers. This is shown below:

Suppose the two positive integers be $5$ and $6$ , and there sum is

  $5+6=11$

From the above example it can be observed that the sum of two positive integers is always positive.

Hence,

The sum of two positive integers is never negative.