SOLUTION: find all sets of four consecutive integers whose sum is between 22 and 30

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Question 253333: find all sets of four consecutive integers whose sum is between 22 and 30
Answer by hokies(65) About Me  (Show Source):
You can put this solution on YOUR website!
Let x be the first integer in the set of 4 integers
22 < x+(x+1)+(x+2)+(x+3) < 30
22 < 4x + 6 < 30
16 < 4x < 24
4 < x < 6
*assume the question includes sums equal to 22 or 30*
So the first integer is 4, 5, or 6
4,5,6,7 OR 5,6,7,8 OR 6,7,8,9