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\n" ); document.write( "I have been struggling with this problem for a few days now:
\n" ); document.write( "Let
\n" ); document.write( "U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
\n" ); document.write( "A = {1, 2, 4, 6}
\n" ); document.write( "B = {3, 7}
\n" ); document.write( "C = {1, 3, 6, 7, 9}
\n" ); document.write( "List all the members of the following set.
\n" ); document.write( "A ∩ (B ∪ C)\r
\n" ); document.write( "\n" ); document.write( "The class I am taking has no textbooks to reference, so I have been trying to figure this out on my own. I found a similar question with a similar set (where the places of A and C were swapped in the set) on this website, and so I tried the solution and got this as my final answer:
\n" ); document.write( "3,6,7
\n" ); document.write( "The solution basically suggested that you combine the numbers and drop all duplicates (the solution I followed ignores all members of U and only used A, B, and C members).
\n" ); document.write( "The answer, however, is incorrect.
\n" ); document.write( "I am stumped and would appreciate any tips. Thank you!
\n" ); document.write( "So
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document.write( "The symbol B U C denotes the UNION of two subsets B and C of the universal set U.\r\n" );
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document.write( "The union is the list of all elements belonging to B or C; if some element does belong to both B and C,\r\n" );
document.write( "we list it ONLY ONCE in the union.\r\n" );
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document.write( "So, the union (B U C) is this set {1, 3, 6, 7, 9}.\r\n" );
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document.write( "NEXT, we take the INTERSECTION A ∩ (B ∪ C).\r\n" );
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document.write( "This intersection is the subset, containing elements, common to A and to (B U C).\r\n" );
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document.write( "We list each common element ONLY ONE TIME in the intersection.\r\n" );
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document.write( "So, the intersection is\r\n" );
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document.write( " A ∩ (B ∪ C) = {1, 6}.\r\n" );
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document.write( "ANSWER. A ∩ (B ∪ C) = {1, 6}.\r\n" );
document.write( "\r\n" ); document.write( "\n" ); document.write( "Solved, answered and carefully explained.\r
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