document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=28917>Question 28917</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am totally lost,<BR>\n" );
document.write( "I'm suppose to solve the inequality and then graph<BR>\n" );
document.write( "absolute value x+4 end of absolute value less than 6<BR>\n" );
document.write( "please help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #15843 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=15843\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the graph of y=|x+4| looks like: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28300%2C300%2C+-12%2C4%2C-4%2C10%2Cabs%28x%2B4%29%29+ ALIGN=MIDDLE  ALT=\"+graph%28300%2C300%2C+-12%2C4%2C-4%2C10%2Cabs%28x%2B4%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "it is just the graph of y = x+4 except where we have negative y-values...here the line is reflected back...the line is essentially y=-(x+4)\r<BR>\n" );
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document.write( "So, look at the V-shaped line. We need to know where this is less than 6... draw a horizontal line at y=6 and you get the answers:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28300%2C300%2C+-12%2C4%2C-4%2C10%2Cabs%28x%2B4%29%2C+6%29+ ALIGN=MIDDLE  ALT=\"+graph%28300%2C300%2C+-12%2C4%2C-4%2C10%2Cabs%28x%2B4%29%2C+6%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "OK, algebraically, we have in essence 2 equations to compare with y=6.\r<BR>\n" );
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document.write( "1. x+4<6<BR>\n" );
document.write( "--> x < 2 is one answer (which matches with the graph)\r<BR>\n" );
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document.write( "2. -(x+4) < 6<BR>\n" );
document.write( "--> -x - 4 < 6<BR>\n" );
document.write( "--> -x < 10<BR>\n" );
document.write( "--> x > -10 is the other answer (which matches with the graph too).\r<BR>\n" );
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document.write( "jon.<BR>\n" );
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