document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1207731>Question 1207731</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Explain why the equation |x| > -1/2 has all real number solutions.<BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #845772 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=845772\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "x is some real number on a number line<BR>\n" );
document.write( "|x| represents the distance x is from 0.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Examples<BR>\n" );
document.write( "|x| = |-27| = 27, showing x = -27 is 27 units away from 0.<BR>\n" );
document.write( "|x| = |4| = 4, showing x = 4 is 4 units away from 0.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The output of |x| is never negative since negative distance isn't possible.<BR>\n" );
document.write( "This ensures that |x| is larger than any negative number you can think of.<BR>\n" );
document.write( "Therefore |x| > -1/2 is true for any real number x.<BR>\n" );
document.write( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );