document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=85223>Question 85223</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For the following equation, find the interval(s) where f(x) < 0\r<BR>\n" );
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document.write( "f(x) = 1/(x^2-2x-8)\r<BR>\n" );
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document.write( "(–4, 2)<BR>\n" );
document.write( "(–2, 4)<BR>\n" );
document.write( "(2, 4)<BR>\n" );
document.write( "(2, 8)\r<BR>\n" );
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document.write( "I can't figure this one out.  I know it's probly easy for most but assistance would be great.\r<BR>\n" );
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document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #61417 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=61417\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find the interval(s) where f(x) < 0\r<BR>\n" );
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document.write( "f(x) = 1/(x^2-2x-8) < 0\r<BR>\n" );
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document.write( "Rewrite as:<BR>\n" );
document.write( "f(x) < 1/[(x-4)(x+2)] < 0<BR>\n" );
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document.write( "f(x) is undefined for x=-2 and x=4<BR>\n" );
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document.write( "Draw a number line and label appropriate points x=-2 and x=4<BR>\n" );
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document.write( "This divides the number line into three intervals.<BR>\n" );
document.write( "Check a test value in each interval to see where the INEQUALITIES solutions lie.<BR>\n" );
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document.write( "Interval(-inf,-2); test point x=-100; f(-100)=1/[(-)(-)] >0 so no solutions here<BR>\n" );
document.write( "Interval (-2,4); test pt. x=0; f(0)=1/[(-)(+)] <0 so solutions here<BR>\n" );
document.write( "Interval (4,inf); test pt.x=100; f(100)/1/(+)(+)] so no solutions here<BR>\n" );
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document.write( "Final Answer:<BR>\n" );
document.write( "-2 less x less than 4 <BR>\n" );
document.write( "or (-2,4)\r<BR>\n" );
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document.write( "==========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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