document.write( "Question 423500: Could someone please show me how to do this problem? Use the set builder notation to describe the complete solution set {yly _ _ }
\n" ); document.write( "2(3y-9) > 7(2y+5)
\n" ); document.write( "(the greater than less than sign is underlined)
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #295365 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
\"2%283y-9%29%3E=7%282y%2B5%29\" Start with the given inequality.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"6y-18%3E=14y%2B35\" Distribute.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"6y%3E=14y%2B35%2B18\" Add \"18\" to both sides.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"6y-14y%3E=35%2B18\" Subtract \"14y\" from both sides.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"-8y%3E=35%2B18\" Combine like terms on the left side.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"-8y%3E=53\" Combine like terms on the right side.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"y%3C=%2853%29%2F%28-8%29\" Divide both sides by \"-8\" to isolate \"y\". note: Remember, the inequality sign flips when we divide both sides by a negative number. \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"y%3C=-53%2F8\" Reduce.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "----------------------------------------------------------------------\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Answer:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So the solution is \"y%3C=-53%2F8\"\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So the answer in set-builder notation is \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "If you need more help, email me at jim_thompson5910@hotmail.com\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Jim
\n" ); document.write( "
\n" );