document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=976979>Question 976979</A>: <I><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9%2F%28h%2B1%29+%3E+9+ ALIGN=MIDDLE  ALT=\"+9%2F%28h%2B1%29+%3E+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Solve the inequality.\r<BR>\n" );
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document.write( "After finding the important values/zeroes (-1 and 0)<BR>\n" );
document.write( "I checked -2, -.5, and 1 using the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9+%3E+9h%2B9+ ALIGN=MIDDLE  ALT=\"+9+%3E+9h%2B9+\"   DISABLED_style= \"max-width:90%; height:auto;\" >and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+%3E+9h+ ALIGN=MIDDLE  ALT=\"+0+%3E+9h+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "When plugged into these inequalities  -2 and -.5 worked, however when plugged into the original equation only -.5 worked. \r<BR>\n" );
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document.write( "Why did -2 not work despite it working in the above inequalities that I consider to be the same?\r<BR>\n" );
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document.write( "Also sorry if this was supposed to be posted in inequalities rather than rational functions. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #598472 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10810)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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/cgi-bin/show-face.mpl?user=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=598472\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9%2F%28h%2B1%29+%3E+9+ ALIGN=MIDDLE  ALT=\"+9%2F%28h%2B1%29+%3E+9+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "Solve the inequality.\r<BR>\n" );
document.write( "\n" );
document.write( "After finding the important values/zeroes (-1 and 0)<BR>\n" );
document.write( "I checked -2, -.5, and 1 using the equation <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+9+%3E+9h%2B9+ ALIGN=MIDDLE  ALT=\"+9+%3E+9h%2B9+\"   DISABLED_style= \"max-width:90%; height:auto;\" >and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+%3E+9h+ ALIGN=MIDDLE  ALT=\"+0+%3E+9h+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "When plugged into these inequalities  -2 and -.5 worked, however when plugged into the original equation only -.5 worked. \r<BR>\n" );
document.write( "\n" );
document.write( "Why did -2 not work despite it working in the above inequalities that I consider to be the same?\r<BR>\n" );
document.write( "\n" );
document.write( "Also sorry if this was supposed to be posted in inequalities rather than rational functions.<BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">You're correct: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+%3C+0 ALIGN=MIDDLE  ALT=\"h+%3C+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+%3C%3E+-+1 ALIGN=MIDDLE  ALT=\"h+%3C%3E+-+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Thus, there are 2 intervals to check: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+%3C+-+1 ALIGN=MIDDLE  ALT=\"h+%3C+-+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-+1+%3C+h+%3C+0 ALIGN=MIDDLE  ALT=\"-+1+%3C+h+%3C+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >. You'll see that only those<BR>\n" );
document.write( "values in the interval: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28-+1+%3C+h+%3C+0%29 ALIGN=MIDDLE  ALT=\"highlight_green%28-+1+%3C+h+%3C+0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > work.<BR>\n" );
document.write( "By the way, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h+=+-+2 ALIGN=MIDDLE  ALT=\"h+=+-+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > DOES NOT make the inequality true, so that value is not in the interval <BR>\n" );
document.write( "of values that satisfy the inequality. </SPAN>\n" );
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