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

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(24713) (Show Source): You can put this solution on YOUR website!

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

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