document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1095095>Question 1095095</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Which of the following statements is a FALSE statement?<BR>\n" );
document.write( "(A) {( &#8416; } represents the empty set.<BR>\n" );
document.write( "(B) A set is a subset of itself.<BR>\n" );
document.write( "(C) For any two sets S and T, S   &#8745;  T is a subset of S.<BR>\n" );
document.write( "(D) If set T has four elements, then any subset of T has four or fewer elements.<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 #709650 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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/cgi-bin/show-face.mpl?user=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=709650\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br>Statement A is false.<br><BR>\n" );
document.write( "In fact, statement A has no meaning. I think statement A is supposed to be<BR>\n" );
document.write( "{ &#8416; } instead of {( &#8416; }.<br><BR>\n" );
document.write( "The empty set can be represented by either { }, or by  &#8416; .<BR>\n" );
document.write( "But { &#8416; } would represent a (non-empty!) set in which the only element is the empty set.<br><BR>\n" );
document.write( "So, assuming statement A is supposed to be that { &#8416; } represents the empty set, statement A is false. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );