document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=643496>Question 643496</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need some help solving this inequality.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-5%2F3-x ALIGN=MIDDLE  ALT=\"x-5%2F3-x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><0\r<BR>\n" );
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document.write( "Thank you so much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #404539 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10555)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=404539\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I need some help solving this inequality.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-5%2F3-x ALIGN=MIDDLE  ALT=\"x-5%2F3-x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><0\r<BR>\n" );
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document.write( "Thank you so much!\r<BR>\n" );
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document.write( "Before trying to solve this inequality, upon observing it, we realize that whatever x-value one uses, that x-value becomes 0. This is because we are adding x, and also subtracting it (see inequality). This leaves us with: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-+5%2F3+%3C+0 ALIGN=MIDDLE  ALT=\"-+5%2F3+%3C+0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which is always, and will forever be TRUE. This means that ANY x-value inserted into the inequality will satisfy it (make it true). \r<BR>\n" );
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document.write( "Anyway, still working the problem out, we convert the left-side expression to one with a common denominator, 3 to get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x+-+5+-+3x%29%2F3+%3C+0 ALIGN=MIDDLE  ALT=\"%283x+-+5+-+3x%29%2F3+%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=-+5%2F3+%3C+0 ALIGN=MIDDLE  ALT=\"-+5%2F3+%3C+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > ----- 3x - 3x in numerator equals 0<BR>\n" );
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document.write( "Since this is always true, ANY value that is plugged in for x will satisfy the inequality, thereby leading to the solution x = ALL REALS.\r<BR>\n" );
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document.write( "Send comments and “thank-yous” to “D” at MathMadEzy@aol.com </SPAN>\n" );
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