document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1044054>Question 1044054</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Can anyone help me with this, I don't really understand how to set up the proof\r<BR>\n" );
document.write( "\n" );
document.write( "If C &#8838; A &#8745; B then C &#8838; A and C &#8838; B.\r<BR>\n" );
document.write( "\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 #659374 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=659374\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let x be an element in set C. Since x is in set C, it must be in BOTH set A and in set B because C is a subset of the intersection of A and B.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "If you draw a venn diagram, the region where A and B overlap is where set C will be. Set C will either be the whole overlapping region or a smaller region inside this overlap. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So this means that if x is in C, then x is in A. Also, x is in B. The element x is a general representative of any element in set C. So that means if C is a subset of A intersect B, then C is a subset of A and C is a subset of B<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );