document.write( "Question 454159: Can someone help me with the question below, I am lost. Thank you.\r
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document.write( "Given A = {2, 4, 6}, B = {1, 3, 5}, and C = { 1, 2, 3, 4, 5, 6, 7}. Evaluate each set
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document.write( "a) A ∩ B
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document.write( "b) A U C
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document.write( "c) B U C
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document.write( "d) (A U B) ∩ C
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document.write( "e) A U (B U C)
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document.write( "f) (A ∩ B) ∩ C
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document.write( "g) (A ∩ B) U C
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Algebra.Com's Answer #311917 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! Given A = {2,4,6}, B = {1,3,5,6}, and C = {6, 7}. Evaluate each set \n" ); document.write( "Given A = {2,4, 6}, B = {1,3,5,6}, and C = {6, 7}. Evaluate each set \n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "Rule for ᑎ: \r\n" ); document.write( "1. Substitute the sets for the corresponding symbols\r\n" ); document.write( " on each side of the ᑎ. \r\n" ); document.write( "2. Pick ONLY the elements in common to both sets.\r\n" ); document.write( "3. Put them between braces.\r\n" ); document.write( " \r\n" ); document.write( "Rule for ᑌ:\r\n" ); document.write( "1. 1. Substitute the sets for the corresponding symbols\r\n" ); document.write( " on each side of the ᑌ\r\n" ); document.write( "2. Pick ALL the elements in either set whether common to both sets\r\n" ); document.write( "or not.\r\n" ); document.write( "3. Put those elements between braces.\r\n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( " \r\n" ); document.write( " \r\n" ); document.write( "a) A ᑎ B\r\n" ); document.write( " \r\n" ); document.write( "1. Substitute the sets for the corresponding symbols\r\n" ); document.write( " on each side of the ᑎ.\r\n" ); document.write( " \r\n" ); document.write( " {2,4,6} ᑎ {1,3,5,6}\r\n" ); document.write( " \r\n" ); document.write( "2. Pick ONLY the elements in common to both sets.\r\n" ); document.write( " There is only one element in common to both and that is 6\r\n" ); document.write( " \r\n" ); document.write( "3. Put it between braces:\r\n" ); document.write( " \r\n" ); document.write( " {6}\r\n" ); document.write( " \r\n" ); document.write( "That's the answer to a)\r\n" ); document.write( " \r\n" ); document.write( "------------------------------\r\n" ); document.write( " \r\n" ); document.write( "b) A ᑌ C\r\n" ); document.write( " \r\n" ); document.write( "1. Substitute the sets for the corresponding symbols\r\n" ); document.write( " on each side of the ᑌ.\r\n" ); document.write( " \r\n" ); document.write( " {2,4,6} ᑌ {6, 7} \r\n" ); document.write( " \r\n" ); document.write( "2. Pick ALL the elements in either set whether common to both sets\r\n" ); document.write( "or not. So we pick them all 2, 4, 6, 7. (There is no need to\r\n" ); document.write( "put 6 twice)\r\n" ); document.write( " \r\n" ); document.write( "3. Put them between braces:\r\n" ); document.write( " \r\n" ); document.write( " {2,4,6,7}\r\n" ); document.write( " \r\n" ); document.write( "That's the answer to b)\r\n" ); document.write( " \r\n" ); document.write( "------------------------------\r\n" ); document.write( " \r\n" ); document.write( "c) B ᑌ C\r\n" ); document.write( " \r\n" ); document.write( "1. Substitute the sets for the corresponding symbols\r\n" ); document.write( " on each side of the ᑌ.\r\n" ); document.write( " \r\n" ); document.write( " {1,3,5,6} ᑌ {6, 7} \r\n" ); document.write( " \r\n" ); document.write( "2. Pick ALL the elements in either set whether common to both sets\r\n" ); document.write( "or not. So we pick them all 1, 3, 5, 6, 7. (Again there is no need to\r\n" ); document.write( "put 6 twice)\r\n" ); document.write( " \r\n" ); document.write( "3. Put them between braces:\r\n" ); document.write( " \r\n" ); document.write( " {1,3,5,6,7}\r\n" ); document.write( " \r\n" ); document.write( "That's the answer to c)\r\n" ); document.write( " \r\n" ); document.write( "------------------------------\r\n" ); document.write( " \r\n" ); document.write( "d) (A ᑌ B) ᑎ C\r\n" ); document.write( " \r\n" ); document.write( " ({2,4,6) ᑌ {1,3,5,6}) ᑎ {6,7}\r\n" ); document.write( " \r\n" ); document.write( "Do inside the parentheses first following the rule for ᑌ:\r\n" ); document.write( " \r\n" ); document.write( " {1,2,3,4,5,6} ᑎ {6,7}\r\n" ); document.write( " \r\n" ); document.write( "Now follow the rule for ᑎ\r\n" ); document.write( " \r\n" ); document.write( " {6}\r\n" ); document.write( " \r\n" ); document.write( " That's the answer to d)\r\n" ); document.write( " \r\n" ); document.write( "------------------------------\r\n" ); document.write( " \r\n" ); document.write( "e) A ᑌ (B ᑌ C)\r\n" ); document.write( " \r\n" ); document.write( " {2,4,6) ᑌ ({1,3,5,6} ᑌ {6,7})\r\n" ); document.write( " \r\n" ); document.write( "Do inside the parentheses first following the rule for ᑌ:\r\n" ); document.write( " \r\n" ); document.write( " {2,4,6) ᑌ {1,3,5,6,7}\r\n" ); document.write( " \r\n" ); document.write( "Now follow the rule for ᑌ\r\n" ); document.write( " \r\n" ); document.write( " {1,2,3,4,5,6,7}\r\n" ); document.write( " \r\n" ); document.write( "That's the answer to e)\r\n" ); document.write( " \r\n" ); document.write( "---------------------------------- \r\n" ); document.write( " \r\n" ); document.write( "f) (A ᑎ B) ᑎ C\r\n" ); document.write( " \r\n" ); document.write( " ({2,4,6) ᑎ {1,3,5,6}) ᑎ {6,7}\r\n" ); document.write( " \r\n" ); document.write( "Do inside the parentheses first following the rule for ᑎ:\r\n" ); document.write( " \r\n" ); document.write( " {6} ᑎ {6,7}\r\n" ); document.write( " \r\n" ); document.write( "Now follow the rule for ᑎ\r\n" ); document.write( " \r\n" ); document.write( " {6}\r\n" ); document.write( " \r\n" ); document.write( " That's the answer to f)\r\n" ); document.write( " \r\n" ); document.write( "------------------------------\r\n" ); document.write( "\r\n" ); document.write( "g) (A ᑎ B) ᑌ C\r\n" ); document.write( "\r\n" ); document.write( " ({2,4,6) ᑎ {1,3,5,6}) ᑌ {6,7}\r\n" ); document.write( "\r\n" ); document.write( "Do inside the parentheses first following the rule for ᑎ:\r\n" ); document.write( "\r\n" ); document.write( " {6} ᑌ {6,7}\r\n" ); document.write( "\r\n" ); document.write( "Now follow the rule for ᑌ\r\n" ); document.write( "\r\n" ); document.write( " {6,7}\r\n" ); document.write( "\r\n" ); document.write( " That's the answer to g)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |