document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=51695>Question 51695</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If x>0,y>0,z>0 and x+y+z=1,prove that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F2-x+%2B+y%2F2-y+%2B+z%2F2-z%3E=3%2F5 ALIGN=MIDDLE  ALT=\"x%2F2-x+%2B+y%2F2-y+%2B+z%2F2-z%3E=3%2F5\"   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 #34494 by </B><A HREF=/tutors/aboutme.mpl?userid=darq><B>darq(90)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=darq><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=darq><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=34494\">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=x%2F2-x+%2B+y%2F2-y+%2B+z%2F2-z+%3E=3%2F5 ALIGN=MIDDLE  ALT=\"x%2F2-x+%2B+y%2F2-y+%2B+z%2F2-z+%3E=3%2F5\"   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=-x%2F2-y%2F2-z%2F2+%3E=+3%2F5 ALIGN=MIDDLE  ALT=\"-x%2F2-y%2F2-z%2F2+%3E=+3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "after multiplying both sides with -2. we will need to change sides because it is negative.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6%2F5+%3E=+x%2By%2Bz ALIGN=MIDDLE  ALT=\"-6%2F5+%3E=+x%2By%2Bz\"   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=-6%2F5+%3E=+1 ALIGN=MIDDLE  ALT=\"-6%2F5+%3E=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "a positive number is always bigger than a negative so 1 is bigger than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6%2F5 ALIGN=MIDDLE  ALT=\"-6%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So it is proven that equation is in fact WRONG. But if you had written > instead of < of course the equation will be correct or if you had forgotten to put (-) before <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F3 ALIGN=MIDDLE  ALT=\"5%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > it would have been correct. </SPAN>\n" );
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