document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=439096>Question 439096</A>: <I><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2%2B%28%282x-1%29%2F3%29%3C=1 ALIGN=MIDDLE  ALT=\"1%2F2%2B%28%282x-1%29%2F3%29%3C=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "please help me sole this inequality in interval notation<BR>\n" );
document.write( "thank you<BR>\n" );
document.write( "note the ( ) are actually absolute value brackets </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #303561 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=303561\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 1/2+|2x-1/3)|<=1<BR>\n" );
document.write( "1/2+|2x-1|/3<=1 (pull out denominator 3)<BR>\n" );
document.write( "LCD=6<BR>\n" );
document.write( "3+2|2x-1|<=6<BR>\n" );
document.write( "solve for two possibilities: (2x-1)>=0 or (2x-1)<0<BR>\n" );
document.write( "..<BR>\n" );
document.write( "3+2(2x-1)<=6<BR>\n" );
document.write( "3+4x-2<=6<BR>\n" );
document.write( "4x>=5<BR>\n" );
document.write( "x>=5/4<BR>\n" );
document.write( "..<BR>\n" );
document.write( "3+2(-2x+1)<=6<BR>\n" );
document.write( "3-4x+2<=6<BR>\n" );
document.write( "-4x>=1 (divide by (-4) and reverse inequality sign<BR>\n" );
document.write( "x<=-1/4<BR>\n" );
document.write( "..\r<BR>\n" );
document.write( "\n" );
document.write( "Solution:<BR>\n" );
document.write( "(-infinity,-1/4] U [5/4,infinity) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );