document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=429443>Question 429443</A>: <I><SPAN STYLE=\"word-break: break-all;\"> PLEASE HELP im Stuck on this problem.  Thank You\r<BR>\n" );
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document.write( "Let A, B, and C be subsets of a universal set U and suppose n(U) = 150, n(A) = 23, n(B) = 25, n(C) = 29, n(A &#8745; B) = 8, n(A &#8745; C) = 9, n(B &#8745; C) = 14, and n(A &#8745; B &#8745; C) = 5\r<BR>\n" );
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document.write( "(a)    n[A &#8745; (B U C)]\r<BR>\n" );
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document.write( "(b)    n[A &#8745; (B U C)c]<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 #298259 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=298259\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> (a) n(A &#8745; (B U C)) =  n((A &#8745;B) U (A &#8745;C))\r<BR>\n" );
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document.write( "= n(A &#8745;B) + n(A &#8745;C) - n(A &#8745; B &#8745; C)\r<BR>\n" );
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document.write( "= 8 + 9 - 5 = 12.\r<BR>\n" );
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document.write( "(b)  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+U+C ALIGN=MIDDLE  ALT=\"B+U+C\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28B+U+C%29%5Ec ALIGN=MIDDLE  ALT=\"%28B+U+C%29%5Ec\"   DISABLED_style= \"max-width:90%; height:auto;\" > are disjoint, hence  so are A &#8745; <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+U+C ALIGN=MIDDLE  ALT=\"B+U+C\"   DISABLED_style= \"max-width:90%; height:auto;\" > and A &#8745; <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28B+U+C%29%5Ec ALIGN=MIDDLE  ALT=\"%28B+U+C%29%5Ec\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "==> nA = n(A &#8745; <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=B+U+C ALIGN=MIDDLE  ALT=\"B+U+C\"   DISABLED_style= \"max-width:90%; height:auto;\" > ) + n(A &#8745; <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28B+U+C%29%5Ec ALIGN=MIDDLE  ALT=\"%28B+U+C%29%5Ec\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "==> 23 = 12 + n(A &#8745; <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28B+U+C%29%5Ec ALIGN=MIDDLE  ALT=\"%28B+U+C%29%5Ec\"   DISABLED_style= \"max-width:90%; height:auto;\" >)<BR>\n" );
document.write( "==> n(A &#8745; <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28B+U+C%29%5Ec ALIGN=MIDDLE  ALT=\"%28B+U+C%29%5Ec\"   DISABLED_style= \"max-width:90%; height:auto;\" >) = 11.<BR>\n" );
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