document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=205277>Question 205277</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the solution set of \r<BR>\n" );
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document.write( "x/x+9>0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #154961 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=154961\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x/(x+9)>0<BR>\n" );
document.write( "First we have to find the inflection points in this expression.<BR>\n" );
document.write( "There is a vertical asymptote at x=-9 because division by zero is not allowed.<BR>\n" );
document.write( "There is a horizontal asymptote at y=1 because x is 1st degree on the top and bottom.<BR>\n" );
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document.write( "Testing around the vertical asymptote and zero:<BR>\n" );
document.write( "When is less than -9, y is always positive because the numerator and denominator are always both negative.<BR>\n" );
document.write( "When x is more than -9 and less than zero then the expression is negative.<BR>\n" );
document.write( "When x is greater than zero the expression is always positive.<BR>\n" );
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document.write( "X(-infinity, -9)U(0,infinity) The solution set.<BR>\n" );
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document.write( "Ed<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28500%2C500%2C-30%2C10%2C-10%2C10%2Cx%2F%28x%2B9%29%29 ALIGN=MIDDLE  ALT=\"graph%28500%2C500%2C-30%2C10%2C-10%2C10%2Cx%2F%28x%2B9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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