document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=263516>Question 263516</A>: <I><SPAN STYLE=\"word-break: break-all;\"> cant seem to figure this one out :/\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F2+%3E+x%2F%28x%2B4%29+%2B+4+ ALIGN=MIDDLE  ALT=\"x%2F2+%3E+x%2F%28x%2B4%29+%2B+4+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #194200 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=194200\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> x/2 > x/(x+4) + 4<BR>\n" );
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document.write( "Solve the equality:<BR>\n" );
document.write( "(x/2) = x/(x+4) + 4<BR>\n" );
document.write( "Multiply thru by 2(x+4) to get:<BR>\n" );
document.write( "x(x+4) = 2x + 8(x+4)<BR>\n" );
document.write( "x^2+4x = 2x + 8x + 32<BR>\n" );
document.write( "x^2 -6x - 32 = 0<BR>\n" );
document.write( "x = [6 +- sqrt(36 -4*-32)]/2<BR>\n" );
document.write( "x = [6 +- sqrt(164)]/2<BR>\n" );
document.write( "x = 9.403 or x = -3.403<BR>\n" );
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document.write( "These cannot be in the solution of the inequality.<BR>\n" );
document.write( "x = -4 can also not be a solution.<BR>\n" );
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document.write( "Draw a number line and plot -4, -3.403 and 9.403<BR>\n" );
document.write( "That breaks the number line into four intervals that<BR>\n" );
document.write( "may or may not contain solutions for the INEQUALITY.<BR>\n" );
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document.write( "Test a value from each interval in x/2 > x/(x+4) + 4<BR>\n" );
document.write( "Test x = -5: -5/2 > -5/-1 + 4 ; false<BR>\n" );
document.write( "Test x = 1: 1/2 > 1/5 + 4 ; false<BR>\n" );
document.write( "Test x = 10: 5 > (10/14) + 4 : true<BR>\n" );
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document.write( "Solution: x> 9.403<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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