document.write( "Question 1101615: how many integers represent the sum of two or more members of the set {-4, -3, -2, -1, 0, 1, 2, 3, 4, }? \n" ); document.write( "

Algebra.Com's Answer #716221 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "The smallest sum you can get is by adding all the negative numbers in the set: $\"%28-4%29%2B%28-3%29%2B%28-2%29%2B%28-1%29+=+-10\"$

\n" ); document.write( "The largest sum you can get is by adding all the positive numbers: $\"1%2B2%2B3%2B4+=+10\"$ .

\n" ); document.write( "It should be easy to see that you can get an integer sum of any of the integers between those minimum and maximum sums.

\n" ); document.write( "So the number of different integer sums you can get is the number of integers between -10 and 10, inclusive; that number is 21 (10 negative, 10 positive , and 0). \n" ); document.write( "

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