document.write( "Question 343457: 1/3<(3-2x)/6<3/8 I need to solve for x and express in interval notation. \n" ); document.write( "
Algebra.Com's Answer #245788 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
\"1%2F3%3C%283-2x%29%2F6%3C3%2F8+\"
\n" ); document.write( "Let's multiply the equation by \"24\".
\n" ); document.write( "\"8%3C4%283-2x%29%3C9\"
\n" ); document.write( "Break up the problem into two inequalities and solve them separately,
\n" ); document.write( "\"8%3C4%283-2x%29\"
\n" ); document.write( "\"2%3C3-2x\"
\n" ); document.write( "\"2x%3C1\"
\n" ); document.write( "\"highlight%28x%3C1%2F2%29\"
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "\"4%283-2x%29%3C9\"
\n" ); document.write( "\"3-2x%3C9%2F4\"
\n" ); document.write( "\"-2x%3C9%2F4-12%2F4\"
\n" ); document.write( "\"-2x%3C-3%2F4\"
\n" ); document.write( "\"highlight%28x%3E3%2F8%29\"
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "Then put the intervals together.
\n" ); document.write( "\"3%2F8%3Cx%3C1%2F2\"
\n" ); document.write( "or in interval notation,
\n" ); document.write( "(\"3%2F8\",\"1%2F2\")
\n" ); document.write( "
\n" );