document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=156259>Question 156259</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the rational inequality and graph the solution set on a real number line.  Express the solution set in interval notation.\r<BR>\n" );
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document.write( "x-9/x+1 >0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #115185 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=115185\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve the rational inequality and graph the solution set on a real number line. Express the solution set in interval notation. <BR>\n" );
document.write( "x-9/x+1 >0<BR>\n" );
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document.write( "x cannot be 0 and x cannot be -1<BR>\n" );
document.write( "Draw a number line and plot x = -1 and x = 0 on it.<BR>\n" );
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document.write( "Check a test value from each resulting number-line interval in the inequality.<BR>\n" );
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document.write( "Let x = -2; you get (-2-9)/(-2+1) >0; true, so solutions in (-inf,-1)<BR>\n" );
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document.write( "Let x = (-1/2); you get (-1/2 -9)/(-1/2 +1) > 0; false, no solutions in (-1,0)<BR>\n" );
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document.write( "Let x = 1; you get (1-9)/(1+1) >0 ; false, no solutions in (0,+inf)<BR>\n" );
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document.write( "Final solution: {x| x < -1}<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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