document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=131396>Question 131396</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0201773414/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> 5|x+4|< 10<BR>\n" );
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document.write( "5, x+4 in absolute value is less than or equal to 10 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #95916 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=95916\">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=5%2Aabs%28x%2B4%29%3C=10 ALIGN=MIDDLE  ALT=\"5%2Aabs%28x%2B4%29%3C=10\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given inequality\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28x%2B4%29%3C=2 ALIGN=MIDDLE  ALT=\"abs%28x%2B4%29%3C=2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide both sides by 5\r<BR>\n" );
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document.write( "Break up the absolute value (remember, if you have <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28x%29%3C=+a ALIGN=MIDDLE  ALT=\"abs%28x%29%3C=+a\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3E=+-a ALIGN=MIDDLE  ALT=\"x+%3E=+-a\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3C=+a ALIGN=MIDDLE  ALT=\"x+%3C=+a\"   DISABLED_style= \"max-width:90%; height:auto;\" >)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B4+%3E=+-2 ALIGN=MIDDLE  ALT=\"x%2B4+%3E=+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2B4+%3C=+2 ALIGN=MIDDLE  ALT=\"x%2B4+%3C=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the absolute value inequality using the given rule\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2+%3C=+x%2B4+%3C=+2 ALIGN=MIDDLE  ALT=\"-2+%3C=+x%2B4+%3C=+2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the two inequalities to get a compound inequality\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-6+%3C=+x+%3C=+-2 ALIGN=MIDDLE  ALT=\"-6+%3C=+x+%3C=+-2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Subtract 4 from  all sides\r<BR>\n" );
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document.write( "----------------------------------------------------\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So our answer is\r<BR>\n" );
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document.write( "which looks like this in interval notation\r<BR>\n" );
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document.write( "if you wanted to graph the solution set, you would get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28500%2C50%2C-10%2C10%2C-10%2C10%2C%0D%0Anumber_line%28+500%2C+-14%2C+6%2C-6%2C-2%29%2C%0D%0A%0D%0Ablue%28line%28-1.5%2C-7%2C1.65%2C-7%29%29%2C%0D%0Ablue%28line%28-1.5%2C-6%2C1.65%2C-6%29%29%2C%0D%0Ablue%28line%28-1.5%2C-5%2C1.65%2C-5%29%29%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Graph of the solution set in blue and the included values represented by closed circles </SPAN>\n" );
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