document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=983114>Question 983114</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the number of subsets of the set\r<BR>\n" );
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document.write( "{ x|x is an even number between 11 and 27}\r<BR>\n" );
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document.write( "{ x|x is an even number between 19 and 33}  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #603931 by </B><A HREF=/tutors/aboutme.mpl?userid=swincher4391><B>swincher4391(1107)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=swincher4391><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=swincher4391><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=603931\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Well the entire set of numbers between 11-27 are {11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27}\r<BR>\n" );
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document.write( "Now an even number is any number that is divisible by 2. So the subset that is defined as the even numbers between 11-27 are  {12,14,16,18,20,22,24,26}.\r<BR>\n" );
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document.write( "Following this same logic for 19-33:\r<BR>\n" );
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document.write( "{20,22,24,26,28,30,32}\r<BR>\n" );
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document.write( "The important thing is to know that the number of subsets of any set is 2^n where n is the number of elements.\r<BR>\n" );
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document.write( "Since the even numbers of 11-27 have cardinality 8, then it has 2^8 subsets or 256.\r<BR>\n" );
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document.write( "For 19-33, there are 7 elements, so it has 2^7 or 128 subsets. </SPAN>\n" );
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