document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=626836>Question 626836</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I want to make sure I did this question correct, but do not know how to upload a picture so I do hope my description helps. Write down all possible subsets of set Q using correct set notation? \r<BR>\n" );
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document.write( "The picture looks as followed:\r<BR>\n" );
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document.write( "Green circle with P on the outside while inside is f, h, i , s<BR>\n" );
document.write( "Red circle with a Q on the outside while inside is e,p,i,s<BR>\n" );
document.write( "Both circles intersect at i,s\r<BR>\n" );
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document.write( "My answers are as followed:\r<BR>\n" );
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document.write( "{i,s}<BR>\n" );
document.write( "{i,e}<BR>\n" );
document.write( "{i,p}<BR>\n" );
document.write( "{s,i}<BR>\n" );
document.write( "{s,e}<BR>\n" );
document.write( "{s,p}<BR>\n" );
document.write( "{e,i}<BR>\n" );
document.write( "{e,s}<BR>\n" );
document.write( "{e,p}<BR>\n" );
document.write( "{p,i}<BR>\n" );
document.write( "{p,s}<BR>\n" );
document.write( "{p,e}\r<BR>\n" );
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document.write( "Thank you !! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #394453 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=394453\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The set Q has 4 items: e, p, i, s\r<BR>\n" );
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document.write( "One possible subset is the entire set itself {e, p, i, s}\r<BR>\n" );
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document.write( "-------------------------------------------------------\r<BR>\n" );
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document.write( "Then there are subsets that have 3 items in them: \r<BR>\n" );
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document.write( "{e,i,s}<BR>\n" );
document.write( "{e,p,i}<BR>\n" );
document.write( "{e,p,s}<BR>\n" );
document.write( "{p,i,s}\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "-------------------------------------------------------\r<BR>\n" );
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document.write( "Then there are subsets that have 2 elements\r<BR>\n" );
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document.write( "{e,p}<BR>\n" );
document.write( "{e,i}<BR>\n" );
document.write( "{e,s}<BR>\n" );
document.write( "{p,i}<BR>\n" );
document.write( "{p,s}<BR>\n" );
document.write( "{i,s}\r<BR>\n" );
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document.write( "-------------------------------------------------------\r<BR>\n" );
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document.write( "Then there are subsets that just have one element\r<BR>\n" );
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document.write( "{e}<BR>\n" );
document.write( "{p}<BR>\n" );
document.write( "{i}<BR>\n" );
document.write( "{s}\r<BR>\n" );
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document.write( "-------------------------------------------------------\r<BR>\n" );
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document.write( "and finally, every subset has the empty set {}\r<BR>\n" );
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document.write( "=======================================================\r<BR>\n" );
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document.write( "So we have the subsets \r<BR>\n" );
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document.write( "{e, p, i, s}<BR>\n" );
document.write( "{e,i,s}<BR>\n" );
document.write( "{e,p,i}<BR>\n" );
document.write( "{e,p,s}<BR>\n" );
document.write( "{p,i,s}<BR>\n" );
document.write( "{e,p}<BR>\n" );
document.write( "{e,i}<BR>\n" );
document.write( "{e,s}<BR>\n" );
document.write( "{p,i}<BR>\n" );
document.write( "{p,s}<BR>\n" );
document.write( "{i,s}<BR>\n" );
document.write( "{e}<BR>\n" );
document.write( "{p}<BR>\n" );
document.write( "{i}<BR>\n" );
document.write( "{s}<BR>\n" );
document.write( "{}\r<BR>\n" );
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document.write( "Note: there are 4 elements, so there are 2^4 = 16 subsets total\r<BR>\n" );
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document.write( "<font color=\"red\">--------------------------------------------------------------------------------------------------------------</font><BR>\n" );
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document.write( "Jim<BR>\n" );
document.write( "<font color=\"red\">--------------------------------------------------------------------------------------------------------------</font> </SPAN>\n" );
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