document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1022158>Question 1022158</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve the inequality \r<BR>\n" );
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document.write( "3-x&#8804;x-4&#8804;2x-9 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #637898 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39626)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=637898\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Trying to isolate x may be unworkable.  Split into two inequalities and solve each.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3-x%3C=x-4 ALIGN=MIDDLE  ALT=\"3-x%3C=x-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3-x-x%3C=x-4-x ALIGN=MIDDLE  ALT=\"3-x-x%3C=x-4-x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3-2x%3C=-4 ALIGN=MIDDLE  ALT=\"3-2x%3C=-4\"   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=-4-3 ALIGN=MIDDLE  ALT=\"-2x%3C=-4-3\"   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=-7 ALIGN=MIDDLE  ALT=\"-2x%3C=-7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E=7%2F2 ALIGN=MIDDLE  ALT=\"x%3E=7%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "AND\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-4%3C=2x-9 ALIGN=MIDDLE  ALT=\"x-4%3C=2x-9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4%3C=x-9 ALIGN=MIDDLE  ALT=\"-4%3C=x-9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4%2B9%3C=x ALIGN=MIDDLE  ALT=\"-4%2B9%3C=x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%3C=x ALIGN=MIDDLE  ALT=\"5%3C=x\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "These two separately say  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F2%3C=x ALIGN=MIDDLE  ALT=\"7%2F2%3C=x\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%3C=x ALIGN=MIDDLE  ALT=\"5%3C=x\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  You might want to check in the intervals<BR>\n" );
document.write( "which these critical x values create to see which do and do not satisfy the ORIGINAL combined<BR>\n" );
document.write( "inequality.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C=7%2F2 ALIGN=MIDDLE  ALT=\"x%3C=7%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >?  Pick x at 3 to check.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3-x%3C=x-4%3C=2x-9 ALIGN=MIDDLE  ALT=\"3-x%3C=x-4%3C=2x-9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3-%283%29%3C=3-4%3C=2%283%29-9 ALIGN=MIDDLE  ALT=\"3-%283%29%3C=3-4%3C=2%283%29-9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=0%3C=-1%3C=-3 ALIGN=MIDDLE  ALT=\"0%3C=-1%3C=-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Certainly FALSE, as would be expected.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F2%3C=x%3C5 ALIGN=MIDDLE  ALT=\"7%2F2%3C=x%3C5\"   DISABLED_style= \"max-width:90%; height:auto;\" >?  Pick 4.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3-4%3C=4-4%3C=2%2A4-9 ALIGN=MIDDLE  ALT=\"3-4%3C=4-4%3C=2%2A4-9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%3C=0%3C=-1 ALIGN=MIDDLE  ALT=\"-1%3C=0%3C=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >-----<s>TRUE</s>.   Actually FALSE.  \r<BR>\n" );
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document.write( "Last interval,  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E=5 ALIGN=MIDDLE  ALT=\"x%3E=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >?<BR>\n" );
document.write( "Pick 5.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3-5%3C=5-4%3C=2%2A5-9 ALIGN=MIDDLE  ALT=\"3-5%3C=5-4%3C=2%2A5-9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2%3C=1%3C=1 ALIGN=MIDDLE  ALT=\"-2%3C=1%3C=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "TRUE ---- This interval works.\r<BR>\n" );
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document.write( "The solution for the combined inequality is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28highlight_green%28cross%28x%3E=7%2F2%29%29%29 ALIGN=MIDDLE  ALT=\"highlight%28highlight_green%28cross%28x%3E=7%2F2%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "No.  Not correct.<BR>\n" );
document.write( "Initial solution post had mistake in the work on the middle interval.<BR>\n" );
document.write( "The correct solution is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%285%3C=x%29 ALIGN=MIDDLE  ALT=\"highlight%285%3C=x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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