document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1206205>Question 1206205</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given that<BR>\n" );
document.write( "U={1,2,3,...,11,12,13}<BR>\n" );
document.write( "A={3,5,7,8,9,11}<BR>\n" );
document.write( "B= {4,5,6,9,10}<BR>\n" );
document.write( "C={1,3,4,5,6,7,10,12}<BR>\n" );
document.write( " <BR>\n" );
document.write( " \r<BR>\n" );
document.write( "\n" );
document.write( "Determine which elements land in each region of the following Venn Diagram.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "ABCI.II.III.IV.V.VI.VII.VIII.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "LIST the elements in each of the following regions in set notation: Hint\r<BR>\n" );
document.write( "\n" );
document.write( "Region I = <BR>\n" );
document.write( " Hint<BR>\n" );
document.write( "Region II = <BR>\n" );
document.write( " Hint<BR>\n" );
document.write( "Region III = <BR>\n" );
document.write( " Hint<BR>\n" );
document.write( "Region IV = <BR>\n" );
document.write( " Hint<BR>\n" );
document.write( "Region V = <BR>\n" );
document.write( " Hint<BR>\n" );
document.write( "Region VI = <BR>\n" );
document.write( " Hint<BR>\n" );
document.write( "Region VII = <BR>\n" );
document.write( " Hint<BR>\n" );
document.write( "Region VIII = <BR>\n" );
document.write( " Hint<BR>\n" );
document.write( "Submit QuestionQuestion 7 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #843483 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3816)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=843483\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "I'm not sure if you posted a screenshot, but your diagram isn't showing up. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "This is probably what your Venn Diagram looks like<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0Adrawing%28400%2C400%2C-5%2C5%2C-5%2C5%2C%0D%0Aline%28-4%2C4%2C4%2C4%29%2C%0D%0Aline%284%2C4%2C4%2C-4%29%2C%0D%0Aline%284%2C-4%2C-4%2C-4%29%2C%0D%0Aline%28-4%2C-4%2C-4%2C4%29%2C%0D%0A%0D%0Acircle%28-1%2C1%2C2%29%2Ccircle%281%2C1%2C2%29%2Ccircle%280%2C-0.7321%2C2%29%2C%0D%0A%0D%0Alocate%28-3.5%2C4.4%2CU%29%2C%0D%0Alocate%28-2.8%2C2.8%2CA%29%2C%0D%0Alocate%282.6%2C2.8%2CB%29%2C%0D%0Alocate%281%2C-2.6%2CC%29%2C%0D%0Alocate%28-2%2C1.8%2C%22I%22%29%2C%0D%0Alocate%280%2C1.8%2C%22II%22%29%2C%0D%0Alocate%282%2C1.8%2C%22III%22%29%2C%0D%0Alocate%28-1.5%2C0%2C%22IV%22%29%2C%0D%0Alocate%280%2C0.4%2C%22V%22%29%2C%0D%0Alocate%281.2%2C0%2C%22VI%22%29%2C%0D%0Alocate%280%2C-1.5%2C%22VII%22%29%2C%0D%0Alocate%283%2C-1.5%2C%22VIII%22%29%0D%0A%29%0D%0A ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "If my assumption is incorrect then please let me know.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "U={1,2,3,...,11,12,13} is the universal set\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Inside the universal set are these subsets<BR>\n" );
document.write( "A={3,5,7,8,9,11}<BR>\n" );
document.write( "B= {4,5,6,9,10}<BR>\n" );
document.write( "C={1,3,4,5,6,7,10,12}<BR>\n" );
document.write( "we have n = 3 subsets and 2^n = 2^3 = 8 distinct regions.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Let's form the following table<BR>\n" );
document.write( "<TABLE  border = \"1\" cellpadding = \"5\">\n" );
document.write( "<tr><TD >U</TD><TD ><font color=blue>1</font></TD><TD ><font color=blue>2</font></TD><TD ><font color=blue>3</font></TD><TD ><font color=blue>4</font></TD><TD ><font color=blue>5</font></TD><TD ><font color=blue>6</font></TD><TD ><font color=blue>7</font></TD><TD ><font color=blue>8</font></TD><TD ><font color=blue>9</font></TD><TD ><font color=blue>10</font></TD><TD ><font color=blue>11</font></TD><TD ><font color=blue>12</font></TD><TD ><font color=blue>13</font></TD></tr><tr><TD >A</TD><TD ></TD><TD ></TD><TD >3</TD><TD ></TD><TD >5</TD><TD ></TD><TD >7</TD><TD >8</TD><TD >9</TD><TD ></TD><TD >11</TD><TD ></TD><TD ></TD></tr><tr><TD >B</TD><TD ></TD><TD ></TD><TD ></TD><TD >4</TD><TD >5</TD><TD >6</TD><TD ></TD><TD ></TD><TD >9</TD><TD >10</TD><TD ></TD><TD ></TD><TD ></TD></tr><tr><TD >C</TD><TD >1</TD><TD ></TD><TD >3</TD><TD >4</TD><TD >5</TD><TD >6</TD><TD >7</TD><TD ></TD><TD ></TD><TD >10</TD><TD ></TD><TD >12</TD><TD ></TD></tr>\n" );
document.write( "</TABLE><BR>\n" );
document.write( "The top row represents the universal set.<BR>\n" );
document.write( "Then sets A,B,C are the next three rows.<BR>\n" );
document.write( "I've spaced things out so that the items line up.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Then go through each column one at a time to sort out the values. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The number \"1\" is found in set C only.<BR>\n" );
document.write( "So we'll write \"1\" in region VII aka region 7.<BR>\n" );
document.write( "This is in circle C and outside the other circles.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The number \"2\" is not in any of the three sets. <BR>\n" );
document.write( "This value is written outside of the circles (region VIII aka region 8).\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "The number \"3\" is found in sets A and C, but not in set B. <BR>\n" );
document.write( "Write this value in region IV aka region 4.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Keep this process going until you've reached the right-most edge of the table.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "This is what you should get when filling out the Venn Diagram<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0Adrawing%28400%2C400%2C-5%2C5%2C-5%2C5%2C%0D%0Aline%28-4%2C4%2C4%2C4%29%2C%0D%0Aline%284%2C4%2C4%2C-4%29%2C%0D%0Aline%284%2C-4%2C-4%2C-4%29%2C%0D%0Aline%28-4%2C-4%2C-4%2C4%29%2C%0D%0A%0D%0Acircle%28-1%2C1%2C2%29%2Ccircle%281%2C1%2C2%29%2Ccircle%280%2C-0.7321%2C2%29%2C%0D%0A%0D%0Alocate%28-3.5%2C4.4%2CU%29%2C%0D%0Alocate%28-2.8%2C2.8%2CA%29%2C%0D%0Alocate%282.6%2C2.8%2CB%29%2C%0D%0Alocate%281%2C-2.6%2CC%29%2C%0D%0Alocate%28-2%2C1.8%2C%228%2C11%22%29%2C%0D%0Alocate%280%2C1.8%2C%229%22%29%2C%0D%0Alocate%28-1.5%2C0%2C%223%2C7%22%29%2C%0D%0Alocate%280%2C0.4%2C%225%22%29%2C%0D%0Alocate%281.2-0.5%2C0%2C%224%2C6%2C10%22%29%2C%0D%0Alocate%280%2C-1.5%2C%221%2C12%22%29%2C%0D%0Alocate%283%2C-1.5%2C%222%2C13%22%29%0D%0A%29%0D%0A ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Notice region III has no values in it. <BR>\n" );
document.write( "This is because there aren't any values in set B only.<BR>\n" );
document.write( "</font> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );