document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=85112>Question 85112</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0131492594/algebrahomeworkh>Blitzer</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Ugh...here we go again....not in textbook, from teacher and this is driving me nuts. I catch on to some I think but the rest...well gets frustrating.:-(\r<BR>\n" );
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document.write( "Here's the question:\r<BR>\n" );
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document.write( "Solve the rational inequality and graph the solution set on a real number line.\r<BR>\n" );
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document.write( "x-6<BR>\n" );
document.write( "---- > 0<BR>\n" );
document.write( "x+1\r<BR>\n" );
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document.write( "Then it just has a straight line graph only going horizonal with 0 through 9 on the right and 0 through -9 on the left. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #61329 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=61329\">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.\r<BR>\n" );
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document.write( "x-6<BR>\n" );
document.write( "---- > 0<BR>\n" );
document.write( "x+1\r<BR>\n" );
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document.write( "----------<BR>\n" );
document.write( "The fraction is >0 when both numerator and denominator are positive <BR>\n" );
document.write( "or when both numerator and denominator are negative.<BR>\n" );
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document.write( "So you determine when the numerator and the denominator are zero:<BR>\n" );
document.write( "That occurs when x=6 or when x=-1<BR>\n" );
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document.write( "You draw a number line and plot the two values x=-1 and x=6.<BR>\n" );
document.write( "You do this because you know those values are not part of the solution.<BR>\n" );
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document.write( "Those numbers break the number line into three intervals:<BR>\n" );
document.write( "(-inf,-1) , (-1,6), (6,+inf)<BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "Look for solution values in those three intervals by selecting a test value<BR>\n" );
document.write( "for each and substituting into (x-6)/(x+1):<BR>\n" );
document.write( "Interval (-inf,-1); pick x=-100; you get (-)/(-) which is >0<BR>\n" );
document.write( "this whole interval is part of the solution.<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "Interval (-1,6); pick x=0; you get (-)/(+) which is <0<BR>\n" );
document.write( "this whole interval contains no solutions.<BR>\n" );
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document.write( "Interval (6,+inf); pick x=100; you get (+)/(+) which is >0<BR>\n" );
document.write( "this whole interval is part of the solution<BR>\n" );
document.write( "===============<BR>\n" );
document.write( "Final graph<BR>\n" );
document.write( "Darken the intervals where the solutions lie:<BR>\n" );
document.write( "(-inf,-1) OR (6,+inf)<BR>\n" );
document.write( "Draw a circle around the points x=-1 and x=6 as they are NOT<BR>\n" );
document.write( "part of the solution.<BR>\n" );
document.write( "=================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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