document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=5170>Question 5170</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the following inequality, write its solution and graph it.\r<BR>\n" );
document.write( "\n" );
document.write( "|x/2 - 2| + 1 < 3\r<BR>\n" );
document.write( "\n" );
document.write( "I give up. \r<BR>\n" );
document.write( "\n" );
document.write( "Do you have to subtract 2 from each side and then go from there? Thanks for the help\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 #2663 by </B><A HREF=/tutors/aboutme.mpl?userid=xcentaur><B>xcentaur(357)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=xcentaur><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=2663\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> |x/2 - 2| + 1 < 3<BR>\n" );
document.write( "<br><BR>\n" );
document.write( "|x/2 - 2| < 2<BR>\n" );
document.write( "<br><BR>\n" );
document.write( "|x/2 - 2| could be positive or negative,<BR>\n" );
document.write( "but from the ineqn we understand that it must less than 2.<BR>\n" );
document.write( "<br><BR>\n" );
document.write( "hence,if positive,it should greater zero,but less than 2.<BR>\n" );
document.write( "ie. 0 < x < 2<BR>\n" );
document.write( "<br><BR>\n" );
document.write( "|x/2 - 2| could be negative,ie.<BR>\n" );
document.write( "x/2 - 2 < 0<BR>\n" );
document.write( "x/2 < 2<BR>\n" );
document.write( "x < 4<BR>\n" );
document.write( "<br><BR>\n" );
document.write( "our solution would be,<BR>\n" );
document.write( "x=]0  2[ U ]+infinity  4[<BR>\n" );
document.write( "('U' stands for union)<BR>\n" );
document.write( "<br><BR>\n" );
document.write( "hence x=]0  2[<BR>\n" );
document.write( "<P><BR>\n" );
document.write( "You dint mention which set it should fall in,Whole or Real or something else.<BR>\n" );
document.write( "Either way,its solution seems to be<BR>\n" );
document.write( "x=]0  2[ </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );