document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=719218>Question 719218</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28-%28x-1%29%5E2%282-x%29%29%2F%28%283-x%29%285x-1%29%5E2%29%3E=0+ ALIGN=MIDDLE  ALT=\"+%28-%28x-1%29%5E2%282-x%29%29%2F%28%283-x%29%285x-1%29%5E2%29%3E=0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "It would be very nice to have explanations too.<BR>\n" );
document.write( "Thanks,<BR>\n" );
document.write( "Richard </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #441254 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=441254\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (-(x-1)^2(2-x))/((3-x)(5x-1)^2) >= 0<BR>\n" );
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document.write( "1st: Solve the EQUALITY:<BR>\n" );
document.write( "-(x-1)^2(2-x) = 0<BR>\n" );
document.write( "x = 1 or x = 2<BR>\n" );
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document.write( "2nd: Note value that x cannot take:<BR>\n" );
document.write( "x = 3 or x = 1/5<BR>\n" );
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document.write( "3rd: Solve the INEQUALITY:<BR>\n" );
document.write( "Draw a number line and plot x = 1/5, x = 1, x = 2, x = 3<BR>\n" );
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document.write( "Test a value in each of the resulting 5 number line intervals<BR>\n" );
document.write( "to find solution intervals:<BR>\n" );
document.write( "(-(x-1)^2(2-x))/((3-x)(5x-1)^2) > 0<BR>\n" );
document.write( "If x=0 you get: [-(-1)^2(2)]/[(3*(-1)^2] = -2/3 is not > 0<BR>\n" );
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document.write( "If x=1/2 you get: [-(-1/2)^2(3/2)]/[(5/2)(3/2)^2] = (-3/8)/+ is not > 0<BR>\n" );
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document.write( "If x = 3/2 the result is not > 0<BR>\n" );
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document.write( "If x = 5/2 the result IS > 0<BR>\n" );
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document.write( "If x = 10 the result is not > 0<BR>\n" );
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document.write( "Conclusion:<BR>\n" );
document.write( "Solution: x = 1 or values in the interval [2,3)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
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