document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=912598>Question 912598</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Y is less than or equal to the absolute value of 4-X.\r<BR>\n" );
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document.write( "I know what to do when X is not negative like if it was Y is less than or equal to the absolute value of X-4. Can you help? Thank you.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #553967 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</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=553967\">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=y%3C=abs%284-x%29 ALIGN=MIDDLE  ALT=\"y%3C=abs%284-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Two cases.  If <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4-x%3E=0 ALIGN=MIDDLE  ALT=\"4-x%3E=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > and if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4-x%3C0 ALIGN=MIDDLE  ALT=\"4-x%3C0\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "CASE nonnegative argument\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3C=4-x ALIGN=MIDDLE  ALT=\"y%3C=4-x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3C=-x%2B4 ALIGN=MIDDLE  ALT=\"y%3C=-x%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "CASE negative argument\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3C=-4-%28-x%29 ALIGN=MIDDLE  ALT=\"y%3C=-4-%28-x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3C=-4%2Bx ALIGN=MIDDLE  ALT=\"y%3C=-4%2Bx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y%3C=x-4 ALIGN=MIDDLE  ALT=\"y%3C=x-4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The solution is the region in the plane which ---deleted wording--- two cases.\r<BR>\n" );
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document.write( "SUMMARY OF THE INEQUALITES<BR>\n" );
document.write( "Critical point seems to be for x=4.<BR>\n" );
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document.write( "The graphs show only the two individual cases; the ACTUAL solution is the region that ---deleted wording---.\r<BR>\n" );
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document.write( "Nonnegative argument case:<BR>\n" );
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document.write( "Negative argument case:<BR>\n" );
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document.write( "What the solution region should look like:<BR>\n" );
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document.write( "(About the deleted wording; either of the two individual inequalities will satisfy the absolute value inequality given.  This is a <i>union</i>). </SPAN>\n" );
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