document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=191247>Question 191247</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Several of us in class are having problems with sets, subsets, etc. This question was placed on the board for us to solve.  I so need help with this please.\r<BR>\n" );
document.write( "\n" );
document.write( "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" );
document.write( "\n" );
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;)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #143536 by </B><A HREF=/tutors/aboutme.mpl?userid=user_dude2008><B>user_dude2008(1862)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=user_dude2008><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=143536\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If U = {All letters of the alphabet}, A = {c, d, e, f} and B = {e, f, g, h, k}, then\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "A' = {a, b, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z}\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "and \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "B' = {a, b, c, d, i, j, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z}\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "A': set with members that are in U but not in A\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "B': set with members that are in U but not in B\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "-------------------------------------\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "a) Combine sets A & B (take out duplicates)\r<BR>\n" );
document.write( "\n" );
document.write( "A U B = {c, d, e, f, g, h, k}\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "-------------------------------------\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "b) Find common elements in sets A & B\r<BR>\n" );
document.write( "\n" );
document.write( "A &#8745; B = {e, f}\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "-------------------------------------\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "c) Find common elements in sets A' & B'\r<BR>\n" );
document.write( "\n" );
document.write( "A&#8242; &#8745; B&#8242; = {a, b, i, j, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z}\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "-------------------------------------\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(d) Combine sets A' & B' (take out duplicates)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "A&#8242; U B&#8242; = {a, b, c, d, g, h, i, j, k, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z}\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "-------------------------------------\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(e)  Combine sets A & B'\r<BR>\n" );
document.write( "\n" );
document.write( "A U B&#8242; = {a, b, c, d, e, f, i, j, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z}\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "-------------------------------------\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(f) Hint: use part e)\r<BR>\n" );
document.write( "\n" );
document.write( "(A U B&#8242;) &#8745; B = {a, b, c, d, e, f, i, j, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z} &#8745; {e, f, g, h, k}\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(A U B&#8242;) &#8745; B = {e, f}\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "-------------------------------------\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(g) (A U B) &#8745; (A U B&#8242;)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "hint: use parts a) and e)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(A U B) &#8745; (A U B&#8242;) = {c, d, e, f, g, h, k} &#8745; {a, b, c, d, e, f, i, j, l, m, n, o, p, q, r, s, t, u, v, w, x, y, z}\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "(A U B) &#8745; (A U B&#8242;) = {c, d, e, f}\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );