document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=922858>Question 922858</A>: <I><SPAN STYLE=\"word-break: break-all;\"> List the critical values of the related function. Then solve the inequality.\r<BR>\n" );
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document.write( "x+11/x+2<8\r<BR>\n" );
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document.write( "i got -2,-5/7,(-&#8734;,-2)U(-5/7,&#8734;) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #559755 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</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=559755\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One would expect you really mean this:<BR>\n" );
document.write( "(x+11)/(x+2)<8, in pure text.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B11%29%2F%28x%2B2%29%3C8 ALIGN=MIDDLE  ALT=\"%28x%2B11%29%2F%28x%2B2%29%3C8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The left member would be the expression defining the related function, and the critical points are its roots and any x values which make the function undefined.  Accordingly, the critical values are -11 and -2.\r<BR>\n" );
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document.write( "Critical Values of x:   -11 and  -2.\r<BR>\n" );
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document.write( "SOLVING THE EQUATION:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B11%29%2F%28x%2B2%29-8%3C0 ALIGN=MIDDLE  ALT=\"%28x%2B11%29%2F%28x%2B2%29-8%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B11%29%2F%28x%2B2%29-8%28x%2B11%29%2F%28x%2B2%29%3C0 ALIGN=MIDDLE  ALT=\"%28x%2B11%29%2F%28x%2B2%29-8%28x%2B11%29%2F%28x%2B2%29%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B11-8x-88%29%2F%28x%2B2%29%3C0 ALIGN=MIDDLE  ALT=\"%28x%2B11-8x-88%29%2F%28x%2B2%29%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-7x-77%29%2F%28x%2B2%29%3C0 ALIGN=MIDDLE  ALT=\"%28-7x-77%29%2F%28x%2B2%29%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287x%2B77%29%2F%28x%2B2%29%3E0 ALIGN=MIDDLE  ALT=\"%287x%2B77%29%2F%28x%2B2%29%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Again, examing for critical values of x, they still are -2 and -11.\r<BR>\n" );
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document.write( "Three intervals to check.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C-11 ALIGN=MIDDLE  ALT=\"x%3C-11\"   DISABLED_style= \"max-width:90%; height:auto;\" >:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%2A%28-12%29%2B77%29%2F%28-12%2B2%29=%28-something%29%2F%28-someelse%29%3E0 ALIGN=MIDDLE  ALT=\"%287%2A%28-12%29%2B77%29%2F%28-12%2B2%29=%28-something%29%2F%28-someelse%29%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  true.<BR>\n" );
document.write( "-<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-11%3Cx%3C-2 ALIGN=MIDDLE  ALT=\"-11%3Cx%3C-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%28-5%29%2B77%29%2F%28-5%2B2%29=%28something%29%2F%28-something%29%3E0 ALIGN=MIDDLE  ALT=\"%287%28-5%29%2B77%29%2F%28-5%2B2%29=%28something%29%2F%28-something%29%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  false.<BR>\n" );
document.write( "-<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E-2 ALIGN=MIDDLE  ALT=\"x%3E-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287%2A0%2B77%29%2F%280%2B2%29=77%2F2%3E0 ALIGN=MIDDLE  ALT=\"%287%2A0%2B77%29%2F%280%2B2%29=77%2F2%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >  true.\r<BR>\n" );
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document.write( "SOLUTIONS:   (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-infinity ALIGN=MIDDLE  ALT=\"-infinity\"   DISABLED_style= \"max-width:90%; height:auto;\" >,-11)  OR  (-2, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=infinity ALIGN=MIDDLE  ALT=\"infinity\"   DISABLED_style= \"max-width:90%; height:auto;\" >) </SPAN>\n" );
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