document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=980855>Question 980855</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve |x+4|<7<BR>\n" );
document.write( "the answer is -11<x<3<BR>\n" );
document.write( "I know the answer because its in my summer homework but I don't get how to solve it. <BR>\n" );
document.write( "Thank you for your help if you help me.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #601930 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=601930\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You cannot know that the answer is   -11, because you have an inequality using absolute value, so you will have a set of x values; NOT just a single x value.\r<BR>\n" );
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document.write( "Think how abs(x+4) will be related to the 7 on a number line.  Either x+4 is less than 7, or -x-4 is greater than -7.  Solve for both conditions.\r<BR>\n" );
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document.write( "For x+4 POSITIVE or ZERO,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B4%3C7 ALIGN=MIDDLE  ALT=\"x%2B4%3C7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C7-4 ALIGN=MIDDLE  ALT=\"x%3C7-4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28x%3C3%29 ALIGN=MIDDLE  ALT=\"highlight_green%28x%3C3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "BUT<BR>\n" );
document.write( "For x+4 NEGATIVE,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28x%2B4%29%3C7 ALIGN=MIDDLE  ALT=\"abs%28x%2B4%29%3C7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x-4%3C7 ALIGN=MIDDLE  ALT=\"-x-4%3C7\"   DISABLED_style= \"max-width:90%; height:auto;\" >---------think about this step very carefully to understand;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x-4%2Bx%3C7%2Bx ALIGN=MIDDLE  ALT=\"-x-4%2Bx%3C7%2Bx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4%3C7%2Bx ALIGN=MIDDLE  ALT=\"-4%3C7%2Bx\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4-7%3C7%2Bx-7 ALIGN=MIDDLE  ALT=\"-4-7%3C7%2Bx-7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28-11%3Cx%29 ALIGN=MIDDLE  ALT=\"highlight_green%28-11%3Cx%29\"   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-11 ALIGN=MIDDLE  ALT=\"x%3E-11\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Put the two results together:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28-11%3Cx%3C3%29 ALIGN=MIDDLE  ALT=\"highlight%28-11%3Cx%3C3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "Solutions for x are between negative eleven and positive three, EXCLUSIVE. </SPAN>\n" );
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