SOLUTION: Find all sets of three consecutive positive odd integers whose sum is less than 20 but greater than 10. * Could you please provide the original equation used in this problem. T

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Question 104959This question is from textbook Algebra 2 with trigonometry
: Find all sets of three consecutive positive odd integers whose sum is less than 20 but greater than 10.
* Could you please provide the original equation used in this problem. Thank you.
This question is from textbook Algebra 2 with trigonometry

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
1.
2.
From 1,



From 2,



Remember x must be a positive odd integer.
Let's refine our inequalities by finding the closest even integer as limit.


and


The only positive odd integer that satisfies both requirements is

3,5,7 is the only set.
Let's verify.


Good answer.

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