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prove that the sum of two positive integers is always positive.
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the sum of two positive integers is always positive because any two positive integers can be represented by a larger number on the number line. for example, if two positive integers a and b are represented by points a and b, respectively, on the number line, then the sum a+b is represented by the point c, which is further to the right than either a or b. since the direction on the number line is always the same, and the sum is always farther to the right, the sum of two positive integers is always positive.
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