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# How many different integers

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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
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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
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Melody  Nov 20, 2019
#2
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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}?

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