document.write( "Question 168799: If A = {1,3,5,7,9}, B = {1,5,6,7} and C = {1,2,4,6,8,9} find:
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\n" ); document.write( "\n" ); document.write( "iv) find n(A U B) v) list all the subsets of B\r
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Algebra.Com's Answer #124459 by Edwin McCravy(20062)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "If A = {1,3,5,7,9}, B = {1,5,6,7} and C = {1,2,4,6,8,9} find:\r\n" );
document.write( "i) A U B \r\n" );
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document.write( "That mean to list all numbers that are either in A, in B, or in both.\r\n" );
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document.write( "So A U B = {1,3,5,6,7,9}, for they are in A, B or both.\r\n" );
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document.write( "ii) the complement of (A U B) \r\n" );
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document.write( "That means to list all the numbers that are listed in one of the sets \r\n" );
document.write( "above but which are NOT in A U B, which we just found in i):\r\n" );
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document.write( "Complement of A U B is {2,4,8}, for these are the ones not in A U B\r\n" );
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document.write( "iii) the intersection of B and C \r\n" );
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document.write( "This means to list ONLY the ones that are in BOTH B and C\r\n" );
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document.write( "Intersection of B and C = {1,6}\r\n" );
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document.write( "iv) find n(A U B)\r\n" );
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document.write( "That means to count the elements in A U B.  There are 6.\r\n" );
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document.write( " v) list all the subsets of B \r\n" );
document.write( "B = {1,5,6,7}\r\n" );
document.write( "There is just one subset with no members, the empty set,\r\n" );
document.write( "\"PHI\" or \"matrix%281%2C2%2C%22%7B%22%2C%22%7D%22%29\"\r\n" );
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document.write( "There are four subsets with just one member:\r\n" );
document.write( "{1}, {5}, {6}, {7}\r\n" );
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document.write( "There are six subsets with two members:\r\n" );
document.write( "{1,5), (1,6), (1,7}, {5,6}, {5,7}, {6,7}\r\n" );
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document.write( "There are four subsets with three members:\r\n" );
document.write( "(1,5,6), (1,5,7}, {1,6,7}, {5,6,7}\r\n" );
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document.write( "There is just one subset with four members,\r\n" );
document.write( "namely the whole set A:\r\n" );
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document.write( "{1,5,6,7}\r\n" );
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document.write( "So altogether there are 1+4+6+4+1 or 16 subsets of {1,5,6,7}.\r\n" );
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document.write( "Edwin
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