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

Algebra.Com's Answer #76410 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
1. $\"x%2B%28x%2B2%29%2B%28x%2B4%29%3E10\"$
\n" ); document.write( "2. $\"x%2B%28x%2B2%29%2B%28x%2B4%29%3C20\"$
\n" ); document.write( "From 1,
\n" ); document.write( " $\"3x%2B6%3E10\"$
\n" ); document.write( " $\"3x%3E4\"$
\n" ); document.write( " $\"x%3E4%2F3\"$
\n" ); document.write( "From 2,
\n" ); document.write( " $\"3x%2B6%3C20\"$
\n" ); document.write( " $\"3x%3C14\"$
\n" ); document.write( " $\"x%3C14%2F3\"$
\n" ); document.write( "Remember x must be a positive odd integer.
\n" ); document.write( "Let's refine our inequalities by finding the closest even integer as limit.
\n" ); document.write( " $\"x%3E4%2F3\"$
\n" ); document.write( " $\"x%3E2\"$
\n" ); document.write( "and
\n" ); document.write( " $\"x%3C14%2F3\"$
\n" ); document.write( " $\"x%3C4\"$
\n" ); document.write( "The only positive odd integer that satisfies both requirements is
\n" ); document.write( " $\"x=3\"$
\n" ); document.write( "3,5,7 is the only set.
\n" ); document.write( "Let's verify.
\n" ); document.write( " $\"10%3C3%2B5%2B7%3C20\"$
\n" ); document.write( " $\"10%3C15%3C20\"$
\n" ); document.write( "Good answer.
\n" ); document.write( " \n" ); document.write( "

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