document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=930503>Question 930503</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve this equation:<BR>\n" );
document.write( "|x+1| + |1-x| = 2<BR>\n" );
document.write( "Thanks. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #565060 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39625)</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=565060\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Analyze the equation logically.  The absolute value inputs can be greater-than-or-equal to zero, or less than zero.\r<BR>\n" );
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document.write( "If both nonzero, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B1%2B1-x=2 ALIGN=MIDDLE  ALT=\"x%2B1%2B1-x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2=2 ALIGN=MIDDLE  ALT=\"2=2\"   DISABLED_style= \"max-width:90%; height:auto;\" >; and you can find what must be x for both inputs to be nonzero.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B1%3E=0 ALIGN=MIDDLE  ALT=\"x%2B1%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E=-1 ALIGN=MIDDLE  ALT=\"x%3E=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "&<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-x%3E=0 ALIGN=MIDDLE  ALT=\"1-x%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%3E=x ALIGN=MIDDLE  ALT=\"1%3E=x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C=1 ALIGN=MIDDLE  ALT=\"x%3C=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Meaning:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28-1%3C=x%3C=1%29 ALIGN=MIDDLE  ALT=\"highlight%28-1%3C=x%3C=1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "IF both are negative, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x-1%2B%28-1%29%2Bx=2 ALIGN=MIDDLE  ALT=\"-x-1%2B%28-1%29%2Bx=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2=2 ALIGN=MIDDLE  ALT=\"-2=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > FALSE statement.  Obviously both expressions in the absolute value inputs must not be simultaneously negative.\r<BR>\n" );
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document.write( "If x+1>=0 and 1-x<0, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B1%2B%28-1%29%2Bx=2 ALIGN=MIDDLE  ALT=\"x%2B1%2B%28-1%29%2Bx=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x=2 ALIGN=MIDDLE  ALT=\"2x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1 ALIGN=MIDDLE  ALT=\"x=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which is only a piece of the solution found in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%3C=x%3C=1 ALIGN=MIDDLE  ALT=\"-1%3C=x%3C=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "If x+1<0 and 1-x>=0, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x-1%2B1-x=2 ALIGN=MIDDLE  ALT=\"-x-1%2B1-x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2x=2 ALIGN=MIDDLE  ALT=\"-2x=2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-1 ALIGN=MIDDLE  ALT=\"x=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, again this one is consistent with the first found inequality solution but is only one piece of it.\r<BR>\n" );
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document.write( "FINAL FINISHED ANSWER RESULT:   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28-1%3C=x%3C=1%29 ALIGN=MIDDLE  ALT=\"highlight%28-1%3C=x%3C=1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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