document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=255785>Question 255785</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the solution set of the inequality below?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "     17-|x+6|<-17\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #188043 by </B><A HREF=/tutors/aboutme.mpl?userid=dabanfield><B>dabanfield(803)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=dabanfield><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=188043\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 17-|x+6|<-17 \r<BR>\n" );
document.write( "\n" );
document.write( "From above we have:\r<BR>\n" );
document.write( "\n" );
document.write( "|x-6| > 34\r<BR>\n" );
document.write( "\n" );
document.write( "When (x-6) >= 0 (i.e. x >= 6)we have:\r<BR>\n" );
document.write( "\n" );
document.write( "|x-6| = +(x-6) = x-6 so:\r<BR>\n" );
document.write( "\n" );
document.write( "We have then when x >= 6, x-6 > 34 \r<BR>\n" );
document.write( "\n" );
document.write( "The intersection of these two solution sets is:\r<BR>\n" );
document.write( "\n" );
document.write( "x >= 6 and x > 40 or\r<BR>\n" );
document.write( "\n" );
document.write( "x > 40.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "On the other hand:\r<BR>\n" );
document.write( "\n" );
document.write( "When (x-6) < 0 we have:\r<BR>\n" );
document.write( "\n" );
document.write( "|x-6| = -(x-6) = -x + 6\r<BR>\n" );
document.write( "\n" );
document.write( "So when x-6 < 0 we have x < 6 and\r<BR>\n" );
document.write( "\n" );
document.write( "-x + 6 > 34 or<BR>\n" );
document.write( "x < -28\r<BR>\n" );
document.write( "\n" );
document.write( "The intersection for these two solution sets is:\r<BR>\n" );
document.write( "\n" );
document.write( "x < 6 and x < -28 which is x < -28. \r<BR>\n" );
document.write( "\n" );
document.write( "Putting the two solution sets together we have x < -28 or x > 40.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );