document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=184847>Question 184847</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me with the following question. Ireally need the help my work is due today and I just don't get it.<BR>\n" );
document.write( "1.Set K contains 30 elements, set J contains 46 elements, and 11 elements are common to both sets. Find n ( K U J). \r<BR>\n" );
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document.write( "2.Given A = {1, 2, 3},  B = {3, 4, 5, 6,}, and C = {3, 5, 7}. Evaluate each set <BR>\n" );
document.write( "a)	A &#8745; B<BR>\n" );
document.write( "b)	A &#8745; C<BR>\n" );
document.write( "c)	A U C<BR>\n" );
document.write( "d)	B U C<BR>\n" );
document.write( "e)	(A U B) &#8745; C<BR>\n" );
document.write( "f)	A U (B U C)<BR>\n" );
document.write( "g)	(A &#8745; B) &#8745; C<BR>\n" );
document.write( "h)	(A &#8745; B) U C\r<BR>\n" );
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document.write( "Please help me </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #138694 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=138694\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> # 1\r<BR>\n" );
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document.write( "To find the number of elements in the set K U J, simply add the two sets together. However, remember to subtract the number of elements in both sets (since these elements are repeated)\r<BR>\n" );
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document.write( "In other words, use this formula:\r<BR>\n" );
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document.write( "n ( K U J) = n(K) + n(J) - n(K &#8745; J)\r<BR>\n" );
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document.write( "In this case, n(K)=30, n(J)=46 and n(K &#8745; J) = 11. Plug these values in to get:\r<BR>\n" );
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document.write( "n ( K U J) = 30 + 46 - 11\r<BR>\n" );
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document.write( "Add\r<BR>\n" );
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document.write( "n ( K U J) = 76 - 11\r<BR>\n" );
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document.write( "Subtract\r<BR>\n" );
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document.write( "n ( K U J) = 65\r<BR>\n" );
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document.write( "So there are 65 elements in set K U J\r<BR>\n" );
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document.write( "-----------------------------------------------------\r<BR>\n" );
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document.write( "# 2\r<BR>\n" );
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document.write( "I'll do the first four to get you started\r<BR>\n" );
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document.write( "a)\r<BR>\n" );
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document.write( "A &#8745; B = Set of elements that BOTH sets A and B have in common \r<BR>\n" );
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document.write( "A &#8745; B = {1, 2, 3} &#8745; {3, 4, 5, 6}\r<BR>\n" );
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document.write( "A &#8745; B = {3}\r<BR>\n" );
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document.write( "----------------\r<BR>\n" );
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document.write( "b) \r<BR>\n" );
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document.write( "A &#8745; C = Set of elements that BOTH sets A and C have in common \r<BR>\n" );
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document.write( "A &#8745; C = {1, 2, 3} &#8745; {3, 5, 7}\r<BR>\n" );
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document.write( "A &#8745; C = {3}\r<BR>\n" );
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document.write( "c)\r<BR>\n" );
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document.write( "A U C = Combination of the sets A and C (remove any duplicates)\r<BR>\n" );
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document.write( "A U C = {1, 2, 3} U {3, 5, 7}\r<BR>\n" );
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document.write( "A U C = {1,2,3,5,7}\r<BR>\n" );
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document.write( "d)\r<BR>\n" );
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document.write( "B U C = Combination of the sets B and C (remove any duplicates)\r<BR>\n" );
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document.write( "B U C = {3, 4, 5, 6} U {3, 5, 7}\r<BR>\n" );
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document.write( "B U C = {3,4,5,6,7} </SPAN>\n" );
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