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How many different integers represent the sum of two or more members of the set {-4, -3, -2, -1 , 0, 1, 2, 3, 4}?

 Nov 19, 2019
 #1
avatar+2490 
+1

Find the greatest sum and the smallest sum.

 

smallest sum: -4 + (-3) = -7

 

greatest sum: 4 + 3 = 7

 

We can assume that \(-7\leq{x}\leq7\) would work.

 

BUT WAIT.

 

We check if the sums -6 or 6 are possible, but they aren't. We check if the sums -5 or 5 are possible, and they ARE.

 

We can assume that all ODD numbers between the interval \(-7\leq{x}\leq7\) work.

 

Now its up to you to find the answer.

 

 

EDIT: Sorry Fixed it was kind of confusing.

 Nov 20, 2019
edited by CalculatorUser  Nov 20, 2019
 #3
avatar+105971 
0

I do not understand your answer CU.

Melody  Nov 20, 2019
 #2
avatar+105971 
+2

 

How many different integers represent the sum of two or more members of the set {-4, -3, -2, -1 , 0, 1, 2, 3, 4}?

 

What is the biggest sum?

What is the smallest sum?

So there is at the most how many totals?

 

I'd write all thes out in a row and then cross them off when I find a sum that adds to that number. 

 

Ultimately all the crossed numbers are possible sums. So count them.

 Nov 20, 2019

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