document.write( "Question 320024: Given these sets:
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document.write( "A = {1, 2, 3, 4}
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document.write( "B = {3, 4, 5, 6, 7}
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document.write( "C = {3, 5, 7, 9}
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document.write( "List the elements of this set
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document.write( "A ∩ (B U C)\r
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document.write( "Note: The \"U\" in between the B and C is not really a U, but suppose to be a symbol like an uppercase U. \n" );
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Algebra.Com's Answer #229194 by Edwin McCravy(20054)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "Given these sets:\r\n" ); document.write( "A = {1, 2, 3, 4}\r\n" ); document.write( "B = {3, 4, 5, 6, 7}\r\n" ); document.write( "C = {3, 5, 7, 9}\r\n" ); document.write( "\r\n" ); document.write( "List the elements of this set\r\n" ); document.write( "A ∩ (B U C) \r\n" ); document.write( "\r\n" ); document.write( "Substitute the sets for the letters:\r\n" ); document.write( "\r\n" ); document.write( " A ∩ [ B U C ]\r\n" ); document.write( " | | | \r\n" ); document.write( "{1,2,3,4} ∩ [{3,4,5,6,7} U {3,5,7,9}]\r\n" ); document.write( "\r\n" ); document.write( "We do the part in [ ] first. To take the union of {3,4,5,6,7} and {3,5,7,9}\r\n" ); document.write( "and make a set with elements that are in one or the other or both. So\r\n" ); document.write( "we replace the bracketed expression by {3,4,5,6,7,9}\r\n" ); document.write( "\r\n" ); document.write( " A ∩ [ B U C ]\r\n" ); document.write( " | | | \r\n" ); document.write( "{1,2,3,4} ∩ [{3,4,5,6,7} U {3,5,7,9}]\r\n" ); document.write( "\r\n" ); document.write( "{1,2,3,4} ∩ [ {3,4,5,6,7,9}]\r\n" ); document.write( "\r\n" ); document.write( "and that is just\r\n" ); document.write( "\r\n" ); document.write( " {1,2,3,4} ∩ {3,4,5,6,7,9}\r\n" ); document.write( "\r\n" ); document.write( "To take the intersection we may use ONLY elements which are in common\r\n" ); document.write( "to both sets. So the final answer is\r\n" ); document.write( "\r\n" ); document.write( " {3,4}\r\n" ); document.write( "\r\n" ); document.write( "because 3 and 4 are the only elements in common to both sets.\r\n" ); document.write( "\r\n" ); document.write( "Edwin \n" ); document.write( " \n" ); document.write( " |