document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1171361>Question 1171361</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Q1) Let U={a,b,c,d,e,f,g,h,i,j},A={a,b,c,d,e},B={a,b,d,f,g},C={a,d,e} Findl <BR>\n" );
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document.write( "	(A⨁C)\B  <BR>\n" );
document.write( "	(A\C)∩(B\C)<BR>\n" );
document.write( "	n(A^c∪B^c )\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #850967 by </B><A HREF=/tutors/aboutme.mpl?userid=CPhill><B>CPhill(1959)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=CPhill><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=CPhill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=850967\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let $U = \{a, b, c, d, e, f, g, h, i, j\}$, $A = \{a, b, c, d, e\}$, $B = \{a, b, d, f, g\}$, and $C = \{a, d, e\}$.\r<BR>\n" );
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document.write( "1.  **(A ⊕ C) \ B**\r<BR>\n" );
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document.write( "    * $A \oplus C = (A \setminus C) \cup (C \setminus A)$<BR>\n" );
document.write( "    * $A \setminus C = \{b, c\}$<BR>\n" );
document.write( "    * $C \setminus A = \emptyset$<BR>\n" );
document.write( "    * $A \oplus C = \{b, c\} \cup \emptyset = \{b, c\}$<BR>\n" );
document.write( "    * $(A \oplus C) \setminus B = \{b, c\} \setminus \{a, b, d, f, g\} = \{c\}$\r<BR>\n" );
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document.write( "2.  **(A \ C) ∩ (B \ C)**\r<BR>\n" );
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document.write( "    * $A \setminus C = \{b, c\}$<BR>\n" );
document.write( "    * $B \setminus C = \{b, f, g\}$<BR>\n" );
document.write( "    * $(A \setminus C) \cap (B \setminus C) = \{b, c\} \cap \{b, f, g\} = \{b\}$\r<BR>\n" );
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document.write( "3.  **n(A<sup>c</sup> ∪ B<sup>c</sup>)**\r<BR>\n" );
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document.write( "    * $A^c = U \setminus A = \{f, g, h, i, j\}$<BR>\n" );
document.write( "    * $B^c = U \setminus B = \{c, e, h, i, j\}$<BR>\n" );
document.write( "    * $A^c \cup B^c = \{c, e, f, g, h, i, j\}$<BR>\n" );
document.write( "    * $n(A^c \cup B^c) = |A^c \cup B^c| = 7$\r<BR>\n" );
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document.write( "Therefore:\r<BR>\n" );
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document.write( "* (A ⊕ C) \ B = {c}<BR>\n" );
document.write( "* (A \ C) ∩ (B \ C) = {b}<BR>\n" );
document.write( "* n(A<sup>c</sup> ∪ B<sup>c</sup>) = 7<BR>\n" );
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