Answer
False.
The sum of a positive number and a negative number is not always positive.
Work Step by Step
Adding Two Numbers with Different Signs
1. Subtract the smaller absolute value from the greater absolute value.
2. Use the sign of the number with the greater absolute value.
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So, if the negative number has greater value, the sum will be negative.
For example,$\qquad 1+(-3)=-(3-1)=-2$
Example 2 (if the absolute values are equal)
$2+(-2) =0\qquad $(not positive...)
False.
The sum of a positive number and a negative number is not always positive.