Question

The sum of a positive number and a negative number is always sometimes or never negative

Answer 1

The sum of a positive number and a negative number is sometimes negative. This depends on the relative magnitudes of the positive and negative numbers.

- If the positive number is larger in absolute value than the negative number, the sum will be positive.
- If the negative number is larger in absolute value than the positive number, the sum will be negative.
- If they are equal in absolute value, the sum will be zero.

Thus, it’s correct to say that the sum is sometimes negative.