document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1191832>Question 1191832</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Two sets A and B are such that n(universal set) = 90, n(A) = 40 and n(B) = 68.Find<BR>\n" );
document.write( "a.The smallest possible value of n(A U B),<BR>\n" );
document.write( "b.The greatest possible value of n(A U B),<BR>\n" );
document.write( "c.The greatest possible value of n(A n B'). </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #823683 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52803)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=823683\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Two sets A and B are such that n(universal set) = 90, n(A) = 40 and n(B) = 68.Find<BR>\n" );
document.write( "a.The smallest possible value of n(A U B),<BR>\n" );
document.write( "b.The greatest possible value of n(A U B),<BR>\n" );
document.write( "c.The greatest possible value of n(A n B').<BR>\n" );
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document.write( "(a)  The smallest possible value of n(A U B) is 68,  when the set A is a subset of the set B.\r\n" );
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document.write( "(b)  The greatest possible value of n(A U B) is 90, when the sets A and B are maximally disjoint (= as disjoint as possible).\r\n" );
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document.write( "(c)  n(B') = 90 - 68 = 22.\r\n" );
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document.write( "     Therefore, the greatest possible value of n(A n B') is 40 + 22 = 62, when the sets A and B' are disjoint.\r\n" );
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document.write( "Solved. &nbsp;&nbsp;&nbsp;&nbsp;// &nbsp;&nbsp;&nbsp;&nbsp;All questions are answered.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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