document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1038920>Question 1038920</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For what real values of x is |x|+|x+2|+|2-x|‹=8 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #653681 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=653681\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This inequality has three critical values of 2, 0, and -2.  These critical values cut the real number line into four intervals.  Determine the sign of each absolute value expression in each interval and then check the truth or falsity of the inequality.\r<BR>\n" );
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document.write( "(-infinity, -2]<BR>\n" );
document.write( "pick x=-3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2B1%2B5 ALIGN=MIDDLE  ALT=\"3%2B1%2B5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%3C=8 ALIGN=MIDDLE  ALT=\"8%3C=8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "TRUE\r<BR>\n" );
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document.write( "[-2, 0]<BR>\n" );
document.write( "pick -1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2B1%2B3%3C=8 ALIGN=MIDDLE  ALT=\"1%2B1%2B3%3C=8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%3C=8 ALIGN=MIDDLE  ALT=\"5%3C=8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "TRUE\r<BR>\n" );
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document.write( "[0, 2]<BR>\n" );
document.write( "pick 1 for x.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2B3%2B0%3C=8 ALIGN=MIDDLE  ALT=\"1%2B3%2B0%3C=8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%3C=8 ALIGN=MIDDLE  ALT=\"4%3C=8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "TRUE\r<BR>\n" );
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document.write( "[2, infinity)<BR>\n" );
document.write( "pick x=4.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2B6%2B2%3C=8 ALIGN=MIDDLE  ALT=\"4%2B6%2B2%3C=8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%3C=8 ALIGN=MIDDLE  ALT=\"12%3C=8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "FALSE\r<BR>\n" );
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document.write( "Solution is  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28highlight%28x%3C=2%29%29 ALIGN=MIDDLE  ALT=\"highlight%28highlight%28x%3C=2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
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