document.write( "Question 1206766: ε = {1,2,3,4,5,6,7,8,9,10}
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document.write( "A = {2,4,6,8,10}
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document.write( "B = {1,3,5,7}
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document.write( "C = {1,2,4,5,6,8,9,10}
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document.write( "List the members of the following sets:
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document.write( "a) (A ∩ B) ∪ B
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document.write( "b) (A ∩ B) ∪ (B ∩ C)
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document.write( "c) (B ∪ C) ∩ (A ∪ B) \n" );
document.write( "
Algebra.Com's Answer #844405 by MathLover1(20849)![]() ![]() You can put this solution on YOUR website! ε = {1,2,3,4,5,6,7,8,9,10} \n" ); document.write( "A = {2,4,6,8,10} \n" ); document.write( "B = {1,3,5,7} \n" ); document.write( "C = {1,2,4,5,6,8,9,10}\r \n" ); document.write( "\n" ); document.write( "List the members of the following sets: \n" ); document.write( "a) (A ∩ B) ∪ B\r \n" ); document.write( "\n" ); document.write( "(A ∩ B)=∅ (empty set, ∅, there are no elements that are in both sets A and B)\r \n" ); document.write( "\n" ); document.write( "(A ∩ B) ∪ B=∅ ∪ {1,3,5,7}={1,3,5,7}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "b) \r \n" ); document.write( "\n" ); document.write( "find elements that A and B have in common:\r \n" ); document.write( "\n" ); document.write( "(A ∩ B)=∅\r \n" ); document.write( "\n" ); document.write( "find elements that B and C have in common:\r \n" ); document.write( "\n" ); document.write( "(B ∩ C)={1,5}\r \n" ); document.write( "\n" ); document.write( "(A ∩ B) ∪ (B ∩ C)=∅ ∪ {1,5}={1,5}\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "c) (B ∪ C) ∩ (A ∪ B)\r \n" ); document.write( "\n" ); document.write( "(B ∪ C) ={1,2,4,5,6,7,8,9,10}=ε \r \n" ); document.write( "\n" ); document.write( "(A ∪ B)={1,2,4,5,6,7,8,10}\r \n" ); document.write( "\n" ); document.write( "(B ∪ C) ∩ (A ∪ B)={1,2,4,5,6,7,8,10}\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |