document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=198366>Question 198366</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I really don't understand please help.\r<BR>\n" );
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document.write( "1.Given U = {All letters of the alphabet}, A = {c, d, e, f}, and B = {e, f, g, h, k}.  List the elements of set\r<BR>\n" );
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document.write( "(a) A U B<BR>\n" );
document.write( "(b) A &#8745; B    <BR>\n" );
document.write( "(c) A&#8242; &#8745; B&#8242;     <BR>\n" );
document.write( "(d) A&#8242; U B&#8242;   <BR>\n" );
document.write( "(e) A U B&#8242;   <BR>\n" );
document.write( "(f) (A U B&#8242;) &#8745; B    <BR>\n" );
document.write( "(g) (A U B) &#8745; (A U B&#8242; </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #148851 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=148851\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Recall, the following definitions: \r<BR>\n" );
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document.write( "Complement: A complement of a set is simply a set with the elements of the universal set, but NOT the the elements of the given set.\r<BR>\n" );
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document.write( "Example: set A = {1, 2, 3} and the universal set is all whole numbers. So A' (the complement of A) is the set of all whole numbers but NOT 1, 2, or 3\r<BR>\n" );
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document.write( "Union: A set union is the combination of two sets. \r<BR>\n" );
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document.write( "Example: set A={1, 2, 3}, set B={a, b, c} which means that A U B = {1, 2, 3, a, b, c}\r<BR>\n" );
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document.write( "Intersection: A set intersection between two sets yields a new set of all the common elements between the two given sets. \r<BR>\n" );
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document.write( "Example: A={a, b, d, e}, set B={a, b, c} means that A &#8745; B = {a, b}\r<BR>\n" );
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document.write( "===========================================================================\r<BR>\n" );
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document.write( "Now on to your problems...\r<BR>\n" );
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document.write( "Start with the given sets:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE A=\left\{c,d,e,f\right\}\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE B=\left\{e,f,g,h,k\right\}\">\r<BR>\n" );
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document.write( "Find their respective complement sets:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE A^\prime=\left\{a,b,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z\right\}\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE B^\prime=\left\{a,b,c,d,i,j,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z\right\}\">\r<BR>\n" );
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document.write( "a) Simply combine the two sets A and B (and remove the duplicates) to get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE A \cup B=\left\{c,d,e,f,g,h,k\right\}\">\r<BR>\n" );
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document.write( "b) Now find all the common elements between the two sets to get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE A \cap B=\left\{e,f\right\}\">\r<BR>\n" );
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document.write( "c) Find all the common elements between the two sets A' and B' to get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE A^\prime \cap B^\prime=\left\{a,b,i,j,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z\right\}\">\r<BR>\n" );
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document.write( "d) Combine the two sets A' and B' (and remove the duplicates) to get\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE A^\prime \cup B^\prime=\left\{a,b,c,d,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z\right\}\">\r<BR>\n" );
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document.write( "e) Now combine sets A and B':\r<BR>\n" );
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document.write( "I'll leave the last two to try on your own. Let me know if you still need help. </SPAN>\n" );
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