document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=890782>Question 890782</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the inequality. State the answer in interval notation. \r<BR>\n" );
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document.write( "4/(x+1) <_ 3/(x+2) \r<BR>\n" );
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document.write( "the symbol in the middle is supposed to mean \"less than or equal to\". So far I've multiplied both sides by (x+1) and (x+2) to try and get rid of the fraction.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #539289 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39799)</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=539289\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Put all the expressions onto one side.\r<BR>\n" );
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document.write( "Note the critical  values of x at -1 and -2.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F%28x%2B1%29-3%2F%28x%2B2%29=0 ALIGN=MIDDLE  ALT=\"4%2F%28x%2B1%29-3%2F%28x%2B2%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, CHECK THE EQUALITY.  This may be another critical value.\r<BR>\n" );
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document.write( "Multiply both sides by LCD.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%28x%2B2%29-3%28x%2B1%29=0 ALIGN=MIDDLE  ALT=\"4%28x%2B2%29-3%28x%2B1%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x%2B8-3x-3=0 ALIGN=MIDDLE  ALT=\"4x%2B8-3x-3=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B5=0 ALIGN=MIDDLE  ALT=\"x%2B5=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-5 ALIGN=MIDDLE  ALT=\"x=-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >, possibly another critical point along with -1 and -2.\r<BR>\n" );
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document.write( "Look for truth or falseness in the intervals for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F%28x%2B1%29%3C=3%2F%28x%2B2%29 ALIGN=MIDDLE  ALT=\"4%2F%28x%2B1%29%3C=3%2F%28x%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "x<=-5<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F%28-6%2B1%29%3C3%2F%28-6%2B2%29 ALIGN=MIDDLE  ALT=\"4%2F%28-6%2B1%29%3C3%2F%28-6%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4%2F5%3C-3%2F4 ALIGN=MIDDLE  ALT=\"-4%2F5%3C-3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >, TRUE.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F%28-5%2B1%29%3C3%2F%28-5%2B2%29 ALIGN=MIDDLE  ALT=\"4%2F%28-5%2B1%29%3C3%2F%28-5%2B2%29\"   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-1%7D%7D%2C+FALSE.++%7B%7B%7Bx%3C-5 ALIGN=MIDDLE  ALT=\"-1%3C-1%7D%7D%2C+FALSE.++%7B%7B%7Bx%3C-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "-5<=x<=-2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F%28-3%2B1%29%3C3%2F%28-3%2B2%29 ALIGN=MIDDLE  ALT=\"4%2F%28-3%2B1%29%3C3%2F%28-3%2B2%29\"   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-3%2F2 ALIGN=MIDDLE  ALT=\"-2%3C-3%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, TRUE.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F%28-2%2B1%29%3C3%2F%28-2%2B2%29 ALIGN=MIDDLE  ALT=\"4%2F%28-2%2B1%29%3C3%2F%28-2%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, FALSE.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E-2 ALIGN=MIDDLE  ALT=\"x%3C%3E-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "-2<=x<=-1, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E-1 ALIGN=MIDDLE  ALT=\"x%3C%3E-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "So far, you know <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C-5 ALIGN=MIDDLE  ALT=\"x%3C-5\"   DISABLED_style= \"max-width:90%; height:auto;\" >  OR  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5%3Cx%3C-2 ALIGN=MIDDLE  ALT=\"-5%3Cx%3C-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >----- still not finished finding solutions for x.\r<BR>\n" );
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document.write( "CAN YOU FINISH THESE?\r<BR>\n" );
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document.write( "NEED ALSO TO CHECK\r<BR>\n" );
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document.write( "-2<=x<=-1, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C%3E-1 ALIGN=MIDDLE  ALT=\"x%3C%3E-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "-1<=x </SPAN>\n" );
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