document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=736712>Question 736712</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Michel writes the expression |x - 5|, <BR>\n" );
document.write( "where x is a real number, without the <BR>\n" );
document.write( "absolute value symbol. His answer is <BR>\n" );
document.write( "shown below.<BR>\n" );
document.write( "|x - 5| = {x - 5, if x - 5 &#8805; 0<BR>\n" );
document.write( "          -(x - 5), if x - 5 < 0\r<BR>\n" );
document.write( "\n" );
document.write( "|x - 5| = {x - 5, if x &#8805; 5<BR>\n" );
document.write( "           5 - x, if x < 5\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "explain the steps in Michel's solutions </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #449976 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=449976\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> -------<BR>\n" );
document.write( "Michel writes the expression |x - 5|, <BR>\n" );
document.write( "where x is a real number, without the <BR>\n" );
document.write( "absolute value symbol. His answer is <BR>\n" );
document.write( "shown below.<BR>\n" );
document.write( "|x - 5| = {x - 5, if x - 5 an &#8805; 0<BR>\n" );
document.write( "-(x - 5), if x - 5 < 0 <BR>\n" );
document.write( "|x - 5| = {x - 5, if x &#8805; 5<BR>\n" );
document.write( "5 - x, if x < 5 <BR>\n" );
document.write( "--------------------<BR>\n" );
document.write( "Since \"x\" is a variable we cannot tell whether x-5<BR>\n" );
document.write( "is negative or not negative.<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Michael has considered both of the possible conditions<BR>\n" );
document.write( "and followed the definition of <BR>\n" );
document.write( "|x| = x if x >= 0<BR>\n" );
document.write( "or -x if x < 0<BR>\n" );
document.write( "=====================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "===================== </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );