document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=743489>Question 743489</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (5x+2)/(3x-1)<4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #453571 by </B><A HREF=/tutors/aboutme.mpl?userid=tommyt3rd><B>tommyt3rd(5050)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tommyt3rd><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/cgi-bin/show-face.mpl?user=tommyt3rd><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=453571\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285x%2B2%29%2F%283x-1%29%3C4 ALIGN=MIDDLE  ALT=\"%285x%2B2%29%2F%283x-1%29%3C4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285x%2B2%29%2F%283x-1%29-4%3C0 ALIGN=MIDDLE  ALT=\"%285x%2B2%29%2F%283x-1%29-4%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285x%2B2%29%2F%283x-1%29-4%283x-1%29%2F%283x-1%29%3C0 ALIGN=MIDDLE  ALT=\"%285x%2B2%29%2F%283x-1%29-4%283x-1%29%2F%283x-1%29%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%285x%2B2%29-12x%2B4%29%2F%283x-1%29%3C0 ALIGN=MIDDLE  ALT=\"%28%285x%2B2%29-12x%2B4%29%2F%283x-1%29%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286-7x%29%2F%283x-1%29 ALIGN=MIDDLE  ALT=\"%286-7x%29%2F%283x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Next we test on the intervals that our boundary values generated:\r<BR>\n" );
document.write( "\n" );
document.write( "First interval:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-infinity%3Cx%3C1%2F3 ALIGN=MIDDLE  ALT=\"-infinity%3Cx%3C1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Suppose x=0<BR>\n" );
document.write( "then our inequality gives us \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%3C4 ALIGN=MIDDLE  ALT=\"-2%3C4\"   DISABLED_style= \"max-width:90%; height:auto;\" > <---TRUE!<BR>\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( "Second interval:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3%3Cx%3C6%2F7 ALIGN=MIDDLE  ALT=\"1%2F3%3Cx%3C6%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Suppose x=0.5<BR>\n" );
document.write( "then our inequality gives us \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%3C4 ALIGN=MIDDLE  ALT=\"9%3C4\"   DISABLED_style= \"max-width:90%; height:auto;\" > <---False!\r<BR>\n" );
document.write( "\n" );
document.write( "Third interval: <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F7%3Cx%3Cinfinity ALIGN=MIDDLE  ALT=\"6%2F7%3Cx%3Cinfinity\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Suppose x=1<BR>\n" );
document.write( "then our inequality gives us \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F2%3C4 ALIGN=MIDDLE  ALT=\"7%2F2%3C4\"   DISABLED_style= \"max-width:90%; height:auto;\" > <---TRUE!\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "solution:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-infinity%3Cx%3C1%2F3 ALIGN=MIDDLE  ALT=\"-infinity%3Cx%3C1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > union <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F7%3Cx%3Cinfinity ALIGN=MIDDLE  ALT=\"6%2F7%3Cx%3Cinfinity\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );