document.write( "Question 961181: when 1 is added to the difference between 9 times a number and 6, the result is greater than 11 added to 8 times the number \n" ); document.write( "
Algebra.Com's Answer #587476 by KMST(5328)\"\" \"About 
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\"x\"= the number
\n" ); document.write( "\"9x\"= 9 times the number
\n" ); document.write( "\"8x\"= 8 times the number
\n" ); document.write( "
\n" ); document.write( "\"9x-6\"= the difference between 9 times the number and 6
\n" ); document.write( "\"9x-6%2B1\"= what we get when 1 is added to the difference between 9 times the number and 6
\n" ); document.write( "
\n" ); document.write( "\"8x%2B11\"= 11 added to 8 times the number.\r
\n" ); document.write( "\n" ); document.write( "\"When 1 is added to the difference between 9 times a number and 6, the result is greater than 11 added to 8 times the number\" means that
\n" ); document.write( "\"9x-6%2B1\" is greater than \"8x%2B11\" , so
\n" ); document.write( "\"9x-6%2B1%3E8x%2B11\" .
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\n" ); document.write( "Let's simplify:
\n" ); document.write( "\"9x-6%2B1%3E8x%2B11\" ---> \"9x-5%3E8x%2B11\" .
\n" ); document.write( "Let's solve:
\n" ); document.write( "\"9x-5%3E8x%2B11\" ---> \"9x-5%2B5%3E8x%2B11%2B5\" ---> \"9x%3E8x%2B16\" ---> \"9x-8x%3E16\" ---> \"%289-8%29x%3E16\" ---> \"highlight%28x%3E16%29\"
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