document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=184729>Question 184729</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/032150108X/algebrahomeworkh>A Survey of Mathematics with Application</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A={x/xEN and 13<x<18}<BR>\n" );
document.write( "B={12, 13,14,15,16,17,18}\r<BR>\n" );
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document.write( "For the sets A and B determine whether A=B, A is a subset of B, or B is a subset of A}\r<BR>\n" );
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document.write( "For the question I said the A=B, but then I look at it and i'm not sure, I see that the 12 is less than 13, but if it was equal wouldn't it have the less than/equal to sign.  I'm confused 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 #138644 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=138644\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE A=\left\{x\|x\in\mathbb{N}\ \ and \ \ 13<x<18\right\}\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE A=\left\{14, 15, 16, 17\right\}\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE B=\left\{12,13,14,15,16,17,18\right\}\">\r<BR>\n" );
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document.write( "Notice how ALL of the elements of set A are also elements of set B, so this shows us that set A is a subset of set B (ie all of A is in B). So <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE A \subseteq B\">\r<BR>\n" );
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document.write( "Note: the two sets A and B are NOT equal since set B has the element 12 (but set A does NOT have the element 12) </SPAN>\n" );
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