document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=644731>Question 644731</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Absolute Value Expression:\r<BR>\n" );
document.write( "\n" );
document.write( "|x+2| divided by x+2\r<BR>\n" );
document.write( "\n" );
document.write( "Answer is: 1 for x>-2; undefined for x=-2; -1 for x<-2\r<BR>\n" );
document.write( "\n" );
document.write( "Can you explain the steps for this expression? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #405235 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=405235\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If x > -2, then we can add 2 to both sides to get x + 2 > 0\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So the expression x+2 is positive in this case. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So |x+2| = x+2 in this case as well (since the absolute value doesn't change a positive number)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "This means |x+2|/(x+2) = (x+2)/(x+2) = 1 when x > -2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So |x+2|/(x+2) = 1 when x > -2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "-------------------------------------------------------\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "It's undefined for x = -2 since plugging this value into the expression yields a 0 in the denominator (you can't divide by zero)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "-------------------------------------------------------\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "When x < -2, then x+2 < 0 which means |x+2| = -(x+2)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So |x+2|/(x+2) = -(x+2)/(x+2) = -1 when x < -2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "which means |x+2|/(x+2) = -1 when x < -2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<font color=\"red\">--------------------------------------------------------------------------------------------------------------</font><BR>\n" );
document.write( "If you need more help, email me at <a  rel=nofollow HREF=\"mailto:jim_thompson5910@hotmail.com?Subject=I%20Need%20Algebra%20Help\">jim_thompson5910@hotmail.com</a>\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Also, please consider visiting my website: <a  rel=nofollow HREF=\"http://www.freewebs.com/jimthompson5910/home.html\">http://www.freewebs.com/jimthompson5910/home.html</a> and making a donation. Thank you\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Jim<BR>\n" );
document.write( "<font color=\"red\">--------------------------------------------------------------------------------------------------------------</font><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );