SOLUTION: List the conditions when the sum of a positive number and several negative numbers will be positive.

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Question 201264: List the conditions when the sum of a positive number and several negative numbers will be positive.
Answer by solver91311(12126) About Me  (Show Source):
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Not the conditions, the condition.

Let represent the single positive number, then . Let represent the set of negative numbers where . Let represent the sum of the elements of , so:



And the questioned sum is then



The required condition is then




John