document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=97107>Question 97107</A>: <I><SPAN STYLE=\"word-break: break-all;\">  I need help solving this inequality in interval notation. Thank you.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x%2B12%29%28x-2%29+%2F+%28x-1%29+ ALIGN=MIDDLE  ALT=\"+%28x%2B12%29%28x-2%29+%2F+%28x-1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > &#8805; 0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #70675 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=70675\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> [(x+12)(x-2) / (x-1)] >= 0<BR>\n" );
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document.write( "Solve the EQUALITY:<BR>\n" );
document.write( "The fraction is 0 when the numerator is zero.<BR>\n" );
document.write( "Zero when x=-12 or when x=2<BR>\n" );
document.write( "Draw a line and plot x=-12 and x=2 on it.<BR>\n" );
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document.write( "Also plot the point x-1 since x cannot be 1.<BR>\n" );
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document.write( "That line now has four intervals.<BR>\n" );
document.write( "Check a test point in each of the four intervals to find the INEQUALITY solution intervals for [(x+12)(x-2) / (x-1)] > 0:<BR>\n" );
document.write( "Note: I will just track the signs of the factors.<BR>\n" );
document.write( "In (-inf,-12) select x=-13 : (-)(-)/- < 0 so no solution in that interval<BR>\n" );
document.write( "In (-12,1) select x=0: (+)(-)/(-) >0; that interval is part of the solution<BR>\n" );
document.write( "In (1,2) select x=3/2; (+)(-)/(+)<0; so no solution in that interval <BR>\n" );
document.write( "In (2,+inf) select x=3: (+)(+)/(+)>0; that interval is part of the solution<BR>\n" );
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document.write( "Final solution:<BR>\n" );
document.write( "[-12,1),[2,+inf)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.\r<BR>\n" );
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