document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=177994>Question 177994</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/9780321501080/algebrahomeworkh></A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> For sets A and B, determine whether A = B, A is a subset of B, or B is a subset of A  <BR>\n" );
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document.write( "            A = { x| x &#1108; N and  13 < x < 18}<BR>\n" );
document.write( "	B = { 12, 13, 14, 15, 16, 17, 18} <BR>\n" );
document.write( "Help me please!!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #132971 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=132971\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "The description of A tells us that the elements in A must be positive integers (or perhaps non-negative integers depending on who is defining the Natural numbers) and that all elements of A are greater than 13 and all elements of A are less than 18.  So you could enumerate set A rather easily by:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large A = \{14, 15, 16, 17\}\">\r<BR>\n" );
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document.write( "Now you can see that there are elements in B not contained in A, so:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large A \neq B\">\r<BR>\n" );
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document.write( "<i>B</i> <font face=\"Mathematica1\">Ë</font> <i>A</i>\r<BR>\n" );
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document.write( "but all of the elements of A are also contained in B, so:  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large A \subset B\"><BR>\n" );
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