document.write( "Question 461713: I don't know how to set these up or solve these problems. Please help me with my homeowrk!
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document.write( "Given sets E = {1,2,3,4}, F = {2,4,6} and the universal set U = {1,2,3,4,5,6,7}.
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document.write( "1. E∩F =
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document.write( "(A) {1,2,3,4,6} (B) {2,4} (C) {7} (D) {6}
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document.write( "I am guessing it is (A) since those are the numbers that both sets contain\r
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document.write( "2. EUF’ =
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document.write( "(A) {1,2,3,4,5,7} (B) {5,7} (C) {6} (D) { }
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document.write( "I am guessing that this one is (B) since those numbers are the only ones not included in both sets.\r
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document.write( "The next two I dont know the equations. Please show me how to set them up to solve.
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document.write( "5. Given that n(E) = 9, n(EUF) = 14, n(E∩F) = 5. Find n(F).\r
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document.write( "6. Suppose E and F are mutually exclusive, then n(E∩F) = _____. \n" );
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Algebra.Com's Answer #316688 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Given sets E = {1,2,3,4}, F = {2,4,6} and the universal set U = {1,2,3,4,5,6,7}. \n" ); document.write( "1. E∩F = \n" ); document.write( "Answer: {2,4} because only 2 and 4 are in both sets \n" ); document.write( "----------------------------------------------------------- \n" ); document.write( "(A) {1,2,3,4,6} (B) {2,4} (C) {7} (D) {6} \n" ); document.write( "I am guessing it is (A) since those are the numbers that both sets contain \n" ); document.write( "Comment: What you are describing is called the \"union\" of E and F \n" ); document.write( "---------------------------------- \n" ); document.write( "2. EUF’ = \n" ); document.write( "Ans: EUF' = {1,2,3,4}U{1,3,5,7} = {1,2,3,4,5,7} \n" ); document.write( "(A) {1,2,3,4,5,7} (B) {5,7} (C) {6} (D) { } \n" ); document.write( "------------------------------------ \n" ); document.write( "The next two I dont know the equations. Please show me how to set them up to solve. \n" ); document.write( "5. Given that n(E) = 9, n(EUF) = 14, n(E∩F) = 5. Find n(F). \n" ); document.write( "Ans: n(EUF) = n(E)+n(F)-n(E and F) \n" ); document.write( "14 = 9 + n(F)-5 \n" ); document.write( "14 = 4 + n(F) \n" ); document.write( "n(F) = 10 \n" ); document.write( "-------------------- \n" ); document.write( "6. Suppose E and F are mutually exclusive, then n(E∩F) = _____ \n" ); document.write( "Answer: zero \n" ); document.write( "==================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "==================== \n" ); document.write( " |