document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=97643>Question 97643</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve the equation |x-1|=1-x<BR>\n" );
document.write( "Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #76835 by </B><A HREF=/tutors/aboutme.mpl?userid=HyperBrain><B>HyperBrain(694)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=HyperBrain><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=76835\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since the absolute value of x-1 is given to be 1-x, we will presume that there can be two values for x-1-----a negative or a positive.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "If x-1 is negative,\r<BR>\n" );
document.write( "\n" );
document.write( "x-1=-(1-x)<BR>\n" );
document.write( "x-1=x-1\r<BR>\n" );
document.write( "\n" );
document.write( "This is true for all real numbers.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "If x-1 is positive, \r<BR>\n" );
document.write( "\n" );
document.write( "x-1=1-x<BR>\n" );
document.write( "x-1+x=1-x+x<BR>\n" );
document.write( "2x-1=1<BR>\n" );
document.write( "2x-1+1=1+1<BR>\n" );
document.write( "2x=2<BR>\n" );
document.write( "x=1\r<BR>\n" );
document.write( "\n" );
document.write( "Thus if x-1 is negative, x=1.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Power up,<BR>\n" );
document.write( "HyperBrain! </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );