Yes
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Two positive integers cannot have a sum which is negative!
The sum of two negative integers is never positive.
Negative. -2 + -3 = -5 You might be confused with multiplication, where the product is positive
No, the sum of two negative integers is not a positive integer. For example, if you add -5 and -6 together the sum would be -11.
When the sum of all the positive integers in the sum is exactly matched (in magnitude) by the sum of all the negative integers.