document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=466780>Question 466780</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For x < 2;<BR>\n" );
document.write( "1/(|x - 2|) + 1/(|2 - x|) = ?\r<BR>\n" );
document.write( "\n" );
document.write( "I got both terms multiplied by the denominator/denominator of the other term to get both of them to the same common denominator, mainly:<BR>\n" );
document.write( "(|2 - x| + |x - 2|)/(|2 - x| * |x - 2|), but don't know how to proceed further. Please help </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #320057 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=320057\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For x < 2;<BR>\n" );
document.write( "1/(|x - 2|) + 1/(|2 - x|) = ? <BR>\n" );
document.write( "I got both terms multiplied by the denominator/denominator of the other term to get both of them to the same common denominator, mainly:<BR>\n" );
document.write( "(|2 - x| + |x - 2|)/(|2 - x| * |x - 2|), but don't know how to proceed further<BR>\n" );
document.write( "----<BR>\n" );
document.write( "If x < 2 |x-2| is always negative; so |2-x| = -(2-x) = x-2<BR>\n" );
document.write( "---<BR>\n" );
document.write( "If x < 2, |2-x| is always positive; so |2-x| = 2-x<BR>\n" );
document.write( "----<BR>\n" );
document.write( "So, if x < 2, 1/|x-2| + 1/|2-x|<BR>\n" );
document.write( "-------- <BR>\n" );
document.write( "= 1/(x-2) + 1/(2-x)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= [2-x+x-2]/[(x-2)(2-x)]<BR>\n" );
document.write( "---<BR>\n" );
document.write( "= 0/[(x-2)(2-x)]<BR>\n" );
document.write( "--<BR>\n" );
document.write( "= 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" );