document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=462450>Question 462450</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find solution set of (3x+2)^100(5-x)^99/(2x-7)^101<=0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #317153 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=317153\">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=%283x%2B2%29%5E100%285-x%29%5E99%2F%282x-7%29%5E101%3C=0 ALIGN=MIDDLE  ALT=\"%283x%2B2%29%5E100%285-x%29%5E99%2F%282x-7%29%5E101%3C=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The inequality is in standard form already (i.e., one side of the inequality is equal to zero).<BR>\n" );
document.write( "The critical numbers are: \r<BR>\n" );
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document.write( "-2/3, 7/2, and 5. \r<BR>\n" );
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document.write( "(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-infinity ALIGN=MIDDLE  ALT=\"-infinity\"   DISABLED_style= \"max-width:90%; height:auto;\" >, -2/3): <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%2B2%29%5E100%285-x%29%5E99%2F%282x-7%29%5E101+%3C+0 ALIGN=MIDDLE  ALT=\"%283x%2B2%29%5E100%285-x%29%5E99%2F%282x-7%29%5E101+%3C+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  (Choose test number x = -1.)\r<BR>\n" );
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document.write( "( -2/3, 7/2): <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%2B2%29%5E100%285-x%29%5E99%2F%282x-7%29%5E101+%3C+0 ALIGN=MIDDLE  ALT=\"%283x%2B2%29%5E100%285-x%29%5E99%2F%282x-7%29%5E101+%3C+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  (Choose test number x = 0).\r<BR>\n" );
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document.write( "(7/2, 5): <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%2B2%29%5E100%285-x%29%5E99%2F%282x-7%29%5E101+%3E+0 ALIGN=MIDDLE  ALT=\"%283x%2B2%29%5E100%285-x%29%5E99%2F%282x-7%29%5E101+%3E+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  (Choose test number x = 4.)\r<BR>\n" );
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document.write( "(5, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=infinity ALIGN=MIDDLE  ALT=\"infinity\"   DISABLED_style= \"max-width:90%; height:auto;\" >): <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%2B2%29%5E100%285-x%29%5E99%2F%282x-7%29%5E101+%3C+0 ALIGN=MIDDLE  ALT=\"%283x%2B2%29%5E100%285-x%29%5E99%2F%282x-7%29%5E101+%3C+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  (Choose test number x = 6.)\r<BR>\n" );
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document.write( "The critical numbers -2/3 and 5 also satisfy the inequality, but not 7/2.  Hence the solution set is the union\r<BR>\n" );
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document.write( "(<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-infinity ALIGN=MIDDLE  ALT=\"-infinity\"   DISABLED_style= \"max-width:90%; height:auto;\" >, 7/2) U [5, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=infinity ALIGN=MIDDLE  ALT=\"infinity\"   DISABLED_style= \"max-width:90%; height:auto;\" >). </SPAN>\n" );
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