document.write( "Question 1194059: If S = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} and A = {0, 2, 4, 6, 8}, B =
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document.write( "{1, 3, 5, 7, 9}, C = {2, 3, 4, 5}, and D = {1, 6, 7},
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document.write( "Draw the Venn diagram and list the elements of the sets
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document.write( "corresponding to the following events:
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document.write( "(a) A ∪ C;
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document.write( "(b) A ∩ B;
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document.write( "(c) C ;
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document.write( "(d) (C ∩ D) ∪ B;
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document.write( "(e) (S ∩ C) ;
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document.write( "(f) A ∩ C ∩ D. \n" );
document.write( "
Algebra.Com's Answer #826154 by MathLover1(20849)![]() ![]() You can put this solution on YOUR website! \r \n" ); document.write( "\n" ); document.write( "(a) A ∪ C={0, 2, 4, 6, 8} ∪ {2, 3, 4, 5}={0, 2,3, 4, 5,6, 8}\r \n" ); document.write( "\n" ); document.write( "(b) A ∩ B={0, 2, 4, 6, 8} ∩ {1, 3, 5, 7, 9}= { } (empty set)\r \n" ); document.write( "\n" ); document.write( "(c) C ; as given: C = {2, 3, 4, 5}\r \n" ); document.write( "\n" ); document.write( "(d) (C ∩ D) ∪ B= ({2, 3, 4, 5} ∩ {1, 6, 7}) ∪ {1, 3, 5, 7, 9}={ }∪ {1, 3, 5, 7, 9}= {1, 3, 5, 7, 9}\r \n" ); document.write( "\n" ); document.write( "(e) (S ∩ C)={0, 1, 2, 3, 4, 5, 6, 7, 8, 9} ∩ {2, 3, 4, 5}={2, 3, 4, 5}\r \n" ); document.write( "\n" ); document.write( "(f) A ∩ C ∩ D={0, 2, 4, 6, 8} ∩ {2, 3, 4, 5} ∩ {1, 6, 7}={ } (empty set)\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |