document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=269423>Question 269423</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am trying to find the solution for the following inequality containing absolute values:\r<BR>\n" );
document.write( "\n" );
document.write( "|7-x| <6  \r<BR>\n" );
document.write( "\n" );
document.write( "Thank you. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #197458 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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=197458\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> here is the problem:<BR>\n" );
document.write( "(i) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+abs%287-x%29+%3C+6 ALIGN=MIDDLE  ALT=\"+abs%287-x%29+%3C+6\"   DISABLED_style= \"max-width:90%; height:auto;\" >  <BR>\n" );
document.write( "we have to split and solve:<BR>\n" );
document.write( "first 7-x < 6<BR>\n" );
document.write( "second 7-x > - 6<BR>\n" );
document.write( "---<BR>\n" );
document.write( "step 1 - solve first equation  to get<BR>\n" );
document.write( "(ii) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7-x+%3C+6 ALIGN=MIDDLE  ALT=\"7-x+%3C+6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "step 2 - subtract 7 to get<BR>\n" );
document.write( "(iii) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-+x+%3C+-1 ALIGN=MIDDLE  ALT=\"-+x+%3C+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "step 3 - divide by -1 to get<BR>\n" );
document.write( "(iv) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3E+1 ALIGN=MIDDLE  ALT=\"x+%3E+1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---<BR>\n" );
document.write( "step 4 - solve second equation  to get<BR>\n" );
document.write( "(v) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7-x+%3E+-6 ALIGN=MIDDLE  ALT=\"7-x+%3E+-6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "step 2 - subtract 7 to get<BR>\n" );
document.write( "(vi) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-+x+%3E+-13 ALIGN=MIDDLE  ALT=\"-+x+%3E+-13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "step 3 - divide by -1 to get<BR>\n" );
document.write( "(vii) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+%3C+13 ALIGN=MIDDLE  ALT=\"x+%3C+13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----<BR>\n" );
document.write( "so<BR>\n" );
document.write( "1 < x < 13. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );