document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1192919>Question 1192919</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi, I am confused on how to do this one. <BR>\n" );
document.write( "|x-3|+4|x+2|>17 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #824862 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=824862\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=abs%28x-3%29%2B4%2Aabs%28x%2B2%29%3E17 ALIGN=MIDDLE  ALT=\"abs%28x-3%29%2B4%2Aabs%28x%2B2%29%3E17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "The critical points of the function on the left (where the behavior of the function changes) are at x=3 and x=-2.  To solve the inequality, look for solutions on three intervals: (1) -infinity to -2; (2) -2 to 3; and (3) 3 to infinity.<br><BR>\n" );
document.write( "(1) -infinity to -2....<br><BR>\n" );
document.write( "On this interval, |x-3| = -x+3 and |x+2| = -x-2<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-x%2B3%29%2B4%28-x-2%29%3E17 ALIGN=MIDDLE  ALT=\"%28-x%2B3%29%2B4%28-x-2%29%3E17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%2B3-4x-8%3E17 ALIGN=MIDDLE  ALT=\"-x%2B3-4x-8%3E17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5x-5%3E17 ALIGN=MIDDLE  ALT=\"-5x-5%3E17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-22%3E5x ALIGN=MIDDLE  ALT=\"-22%3E5x\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C-22%2F5 ALIGN=MIDDLE  ALT=\"x%3C-22%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3C-4.4 ALIGN=MIDDLE  ALT=\"x%3C-4.4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "This solution is completely within the interval we are working in, so it is part of the solution to the inequality.<br><BR>\n" );
document.write( "ANSWER (first part): Part of the solution set is the interval (-infinity,-4,4)<br><BR>\n" );
document.write( "(2) -2 to 3....<br><BR>\n" );
document.write( "On this interval, |x-3| = -x+3 and |x+2| = x+2<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-x%2B3%29%2B4%28x%2B2%29%3E17 ALIGN=MIDDLE  ALT=\"%28-x%2B3%29%2B4%28x%2B2%29%3E17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-x%2B3%2B4x%2B8%3E17 ALIGN=MIDDLE  ALT=\"-x%2B3%2B4x%2B8%3E17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%2B11%3E17 ALIGN=MIDDLE  ALT=\"3x%2B11%3E17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x%3E6 ALIGN=MIDDLE  ALT=\"3x%3E6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E2 ALIGN=MIDDLE  ALT=\"x%3E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "In the interval from -2 to 3, the only part that is in the solution set is x>2.<br><BR>\n" );
document.write( "ANSWER (second part): Part of the solution set is the interval (2,3]<br><BR>\n" );
document.write( "(3) 3 to infinity....<br><BR>\n" );
document.write( "On this interval, |x-3| = x-3 and |x+2| = x+2<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-3%29%2B4%28x%2B2%29%3E17 ALIGN=MIDDLE  ALT=\"%28x-3%29%2B4%28x%2B2%29%3E17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x-3%2B4x%2B8%3E17 ALIGN=MIDDLE  ALT=\"x-3%2B4x%2B8%3E17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%2B5%3E17 ALIGN=MIDDLE  ALT=\"5x%2B5%3E17\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5x%3E12 ALIGN=MIDDLE  ALT=\"5x%3E12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%3E2.4 ALIGN=MIDDLE  ALT=\"x%3E2.4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "This inequality is satisfied on the entire interval we are working in, so this entire interval is part of the solution set.<br><BR>\n" );
document.write( "ANSWER (third and last part): Part of the solution set is the interval [3,infinity).<br><BR>\n" );
document.write( "ANSWER: The solution set of the inequality is the union of the three solution sets we found in the three intervals: (-infinity, -4.4) U (2,infinity)<br><BR>\n" );
document.write( "A graph of the absolute value function (red) and the constant function 17 (green) shows the behavior of the absolute value function changing at x=-2 and x=3; and it shows the absolute value function being greater than 17 to the left of x=-4.4 and to the right of x=2.<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C340%2C-6%2C4%2C-4%2C30%2Cabs%28x-3%29%2B4%2Aabs%28x%2B2%29%2C17%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C340%2C-6%2C4%2C-4%2C30%2Cabs%28x-3%29%2B4%2Aabs%28x%2B2%29%2C17%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
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