document.write( "Question 764913: Given the following determine the set (A' U B')∩(A U B)'\r
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\n" ); document.write( " A ={1,3,6,7,8}
\n" ); document.write( " B = {1,2,5,6}\r
\n" ); document.write( "\n" ); document.write( "(A' U B')∩ (A U B)'=\r
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Algebra.Com's Answer #465809 by ramkikk66(644) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "U = {1,2,3,4,5,6,7,8}\r\n" );
document.write( "A ={1,3,6,7,8}\r\n" );
document.write( "B = {1,2,5,6} \r\n" );
document.write( "(A' U B')∩ (A U B)'= \r\n" );
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document.write( "A' = set of all elements in U but not in A = {2,4,5}\r\n" );
document.write( "B' = set of all elements in U but not in B = {3,4,7,8}\r\n" );
document.write( "A' U B' = {2,3,4,5,7,8}  ---> (1)\r\n" );
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document.write( "A U B = {1,2,3,5,6,7,8}\r\n" );
document.write( "(A U B)' = set of all elements in U but not in (A U B) = {4}  --- (2)\r\n" );
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document.write( "So (A' U B')∩ (A U B)'=  {4} which is the only common element between the sets \r\n" );
document.write( "as seen from (1) and (2).\r\n" );
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