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 #824851 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=824851\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> see my worksheet below.<BR>\n" );
document.write( "see my comments below the worksheet.\r<BR>\n" );
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document.write( "the basic definition of absolute value is:\r<BR>\n" );
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document.write( "abs(x) = x, if x is positive.<BR>\n" );
document.write( "abs(x) = -x, if x is negative.\r<BR>\n" );
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document.write( "by x, they mean the expression within the absolute value sign.<BR>\n" );
document.write( "for example:<BR>\n" );
document.write( "abs(x-3) is equal to (x-3), if the expression (x-3) is positive.<BR>\n" );
document.write( "abs(x-3) is equal to -(x-3), if the expression (x-3) is negative.\r<BR>\n" );
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document.write( "so you have to break up abs(x-3) into two parts.<BR>\n" );
document.write( "the first part is (x-3).<BR>\n" );
document.write( "the second part is -(x-3).\r<BR>\n" );
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document.write( "that's the concept behind solving this problem.<BR>\n" );
document.write( "my worksheet does that.<BR>\n" );
document.write( "it breaks the problem up into:<BR>\n" );
document.write( "++ ----- (x-3) + 4(x+2) > 17<BR>\n" );
document.write( "-- ----- -(x-3) - 4(x+2) > 17<BR>\n" );
document.write( "+- ----- (x-3) - 4(x+2) > 17<BR>\n" );
document.write( "-+ ----- -(x-3) + 4(x+2) > 17<BR>\n" );
document.write( "and solves each one separately.<BR>\n" );
document.write( "the solutions were:<BR>\n" );
document.write( "x > 2.4<BR>\n" );
document.write( "x < -4.4<BR>\n" );
document.write( "x < -9.3<BR>\n" );
document.write( "x > 2<BR>\n" );
document.write( "x > 2.4 is superfluous because it's covered by x > 2.<BR>\n" );
document.write( "x - 9.3 is superfluous because it's covered by x < 4.4.<BR>\n" );
document.write( "x > 2 or x < 4.4 are your solutions.\r<BR>\n" );
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document.write( "i graphed the equation of abs(x-3) + 4 * abs(x+2) = y and y = 17 to show you how that looks graphically.<BR>\n" );
document.write( "that's shown below.\r<BR>\n" );
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document.write( "let me know if you have any questions.<BR>\n" );
document.write( "theo\r<BR>\n" );
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document.write( " </SPAN>\n" );
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