document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=251466>Question 251466</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Is this inequality true...prove your answer\r<BR>\n" );
document.write( "\n" );
document.write( "|U|-|U||U|-|U||&#8804;|U+U|&#8804;|U|+|U </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #183985 by </B><A HREF=/tutors/aboutme.mpl?userid=drk><B>drk(1908)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=drk><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=183985\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are a lot of absolute value signs, so we need to be careful. It appears, that your original expression can be simplified to\r<BR>\n" );
document.write( "\n" );
document.write( "/(U)/^2 <= /2U/ <= 2/U/, where / U / means absolute value of U.\r<BR>\n" );
document.write( "\n" );
document.write( "Checking some numbers will quickly get the desired answer.\r<BR>\n" );
document.write( "\n" );
document.write( "U = 0 -> 0 <= 0 <= 0 [TRUE]\r<BR>\n" );
document.write( "\n" );
document.write( "U = 1 -> 1 <= 2 <= 2 [TRUE]\r<BR>\n" );
document.write( "\n" );
document.write( "U = 2 -> 4 <= 4 <= 4 [TRUE]\r<BR>\n" );
document.write( "\n" );
document.write( "U = 3 -> 9 ~<= 6 <= 6 [FALSE]\r<BR>\n" );
document.write( "\n" );
document.write( "The only values of U that will hold appear to be {-2, -1, 0, 1, 2}.\r<BR>\n" );
document.write( "\n" );
document.write( "hope that helps. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );