document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=426014>Question 426014</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How can I solve this nonlinear inequality?\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%2F%28z-5%29+%3E=+2z ALIGN=MIDDLE  ALT=\"z%2F%28z-5%29+%3E=+2z\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Thank you very much!<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #296496 by </B><A HREF=/tutors/aboutme.mpl?userid=Gogonati><B>Gogonati(855)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Gogonati><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=Gogonati><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=296496\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Assume z different from 5. Multiply both sides of inequality by (z-5)\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28z-5%29%2A%28z%29%2F%28z-5%29%3E=2z%28z-5%29 ALIGN=MIDDLE  ALT=\"%28z-5%29%2A%28z%29%2F%28z-5%29%3E=2z%28z-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%3E=2z%5E2-10z ALIGN=MIDDLE  ALT=\"z%3E=2z%5E2-10z\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2z%5E2-11z%3C=0 ALIGN=MIDDLE  ALT=\"2z%5E2-11z%3C=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%2A%282z-11%29%3C=0 ALIGN=MIDDLE  ALT=\"z%2A%282z-11%29%3C=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The roots of this quadratic equation are {0,11/2 }. As we know in the closed interval [0,11/2] the equation has the opposite sign of the coefficient <BR>\n" );
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document.write( "        <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%5E2 ALIGN=MIDDLE  ALT=\"z%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >. <BR>\n" );
document.write( "Since this coefficient is positive the solution of our inequality is the closed interval: [0,11/2].\r<BR>\n" );
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