document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=735156>Question 735156</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this inequelitie: |x-2| + |x+3| < |2x-2| </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #449321 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=449321\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This can have eight different equations taking account of the possibility of each absolute value being either greater-than-or-equal-to-zero OR less-than-zero.  Setting up a tree diagram on this web system is inconvenient, maybe very unappealing.  Here is a try at representing the possiblilities:\r<BR>\n" );
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document.write( "Each Expression:  _________x-2____________x+3____________2x-2<BR>\n" );
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document.write( "If greater or equalzero ____x-2___________x+3____________2x-2<BR>\n" );
document.write( "OR<BR>\n" );
document.write( "If less than zero________2-x____________-x-3____________2-2x<BR>\n" );
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document.write( "Those are the possibilities.  Building a set of tree diagrams for ALL of them starts like this:  for x-2, may have x+3 or -x-3; for x-2 and x+3, may have 2x-2 or 2-2x.  \r<BR>\n" );
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document.write( "...and on and on like that until you have all eight sets of expressions.  Right now I'm not patient/clever enough to represent this any better in plain text.  Maybe my method is also inefficient.  A real tree diagram set would make this much easier to see.\r<BR>\n" );
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document.write( "My found eight inequalities are:<BR>\n" );
document.write( "x-2+x+3<2x-2<BR>\n" );
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document.write( "x-2+x+3<2-2x<BR>\n" );
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document.write( "x-2-x-3<2x-2<BR>\n" );
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document.write( "x-2-x-3<2-2x<BR>\n" );
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document.write( "2-x+x+3<2x-2<BR>\n" );
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document.write( "2-x+x+3<2-2x<BR>\n" );
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document.write( "2-x-x-3<2x-2<BR>\n" );
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document.write( "2-x-x-3<2-2x\r<BR>\n" );
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document.write( "Solve each of those eight individually, and maybe check the results of each of their results. </SPAN>\n" );
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