document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=890100>Question 890100</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do I solve this inequality?\r<BR>\n" );
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document.write( "8x-12 > 8/x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #538693 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=538693\">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=8x-12+%3E+8%2Fx ALIGN=MIDDLE  ALT=\"8x-12+%3E+8%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Do NOT multiply each side by x.  \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9x-6-4%2Fx%3E0 ALIGN=MIDDLE  ALT=\"9x-6-4%2Fx%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Bring the first two terms to higher-terms according to denominator x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289x%5E2-6x-4%29%2Fx%3E0 ALIGN=MIDDLE  ALT=\"%289x%5E2-6x-4%29%2Fx%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "There, you want to use the NUMERATOR to see how it is related to zero; the denominator will not really be relevant, except that the solution for x must EXCLUDE x=0.\r<BR>\n" );
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document.write( "The important critical points are at x being the zeros of the numerator.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%286%2B-+sqrt%2836%2B4%2A9%2A4%29%29%2F%282%2A9%29 ALIGN=MIDDLE  ALT=\"x=%286%2B-+sqrt%2836%2B4%2A9%2A4%29%29%2F%282%2A9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%286%2B-+sqrt%2836%2B36%2A4%29%29%2F%282%2A9%29 ALIGN=MIDDLE  ALT=\"x=%286%2B-+sqrt%2836%2B36%2A4%29%29%2F%282%2A9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=%286%2B-+6%2Asqrt%285%29%29%2F%286%2A3%29 ALIGN=MIDDLE  ALT=\"x=%286%2B-+6%2Asqrt%285%29%29%2F%286%2A3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1%2F3%2B-+sqrt%285%29%2F3 ALIGN=MIDDLE  ALT=\"x=1%2F3%2B-+sqrt%285%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The inequality will be satisfied for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x%3C1%2F3-%281%2F3%29sqrt%285%29%29 ALIGN=MIDDLE  ALT=\"highlight%28x%3C1%2F3-%281%2F3%29sqrt%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x%3E1%2F3%2B%281%2F3%29sqrt%285%29%29 ALIGN=MIDDLE  ALT=\"highlight%28x%3E1%2F3%2B%281%2F3%29sqrt%285%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >----<BR>\n" );
document.write( "The possibility of x=0 will no longer be necessary to consider since it is not within the domain for this inequality. </SPAN>\n" );
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