document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=352194>Question 352194</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello!<BR>\n" );
document.write( "I have to solve for the inequality <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x%29%2F%282x%2B3%29%3E2 ALIGN=MIDDLE  ALT=\"%284x%29%2F%282x%2B3%29%3E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I figured I would multiply 2x+3 to both sides, so I'll end up getting:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%3E2%282x%2B3%29 ALIGN=MIDDLE  ALT=\"4x%3E2%282x%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If I distribute the 2, then I would end up getting:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%3E4x%2B6 ALIGN=MIDDLE  ALT=\"4x%3E4x%2B6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "But here lies the problem. I can't get both x's on one side because they'd just cancel each other out. So then I'm left with 0>6 which is false. So I feel like I approached this incorrectly. <BR>\n" );
document.write( "What am I doing wrong? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #251677 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=251677\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> By multiplying the denominator, you lose the information contained within it. <BR>\n" );
document.write( "Numbers are OK since you know the value, but variable expressions are unknown (could be positive, could be negative).<BR>\n" );
document.write( "Go this way instead.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x%29%2F%282x%2B3%29%3E2 ALIGN=MIDDLE  ALT=\"%284x%29%2F%282x%2B3%29%3E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x%29%2F%282x%2B3%29-2%3E0 ALIGN=MIDDLE  ALT=\"%284x%29%2F%282x%2B3%29-2%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x%29%2F%282x%2B3%29-%28%282%282x%2B3%29%29%2F%282x%2B3%29%29%3E0 ALIGN=MIDDLE  ALT=\"%284x%29%2F%282x%2B3%29-%28%282%282x%2B3%29%29%2F%282x%2B3%29%29%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x%29%2F%282x%2B3%29-%28%284x%2B6%29%2F%282x%2B3%29%29%3E0 ALIGN=MIDDLE  ALT=\"%284x%29%2F%282x%2B3%29-%28%284x%2B6%29%2F%282x%2B3%29%29%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x-%284x%2B6%29%29%2F%282x%2B3%29%29%3E0 ALIGN=MIDDLE  ALT=\"%284x-%284x%2B6%29%29%2F%282x%2B3%29%29%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%284x-4x-6%29%2F%282x%2B3%29%29%3E0 ALIGN=MIDDLE  ALT=\"%284x-4x-6%29%2F%282x%2B3%29%29%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-6%29%2F%282x%2B3%29%29%3E0 ALIGN=MIDDLE  ALT=\"%28-6%29%2F%282x%2B3%29%29%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which holds when <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%2B3%3C0 ALIGN=MIDDLE  ALT=\"2x%2B3%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%3C-3 ALIGN=MIDDLE  ALT=\"2x%3C-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x%3C-3%2F2%29 ALIGN=MIDDLE  ALT=\"highlight%28x%3C-3%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-10%2C10%2C-10%2C10%2Cblue%28line%28-3%2F2%2C10%2C-3%2F2%2C-10%29%29%2Cgraph%28300%2C300%2C-10%2C10%2C-10%2C10%2C%284x%29%2F%282x%2B3%29%2C2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );