document.write( "Question 461713: I don't know how to set these up or solve these problems. Please help me with my homeowrk!
\n" ); 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}.
\n" ); document.write( "1. E∩F =
\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\r
\n" ); document.write( "\n" ); document.write( "2. EUF’ =
\n" ); document.write( "(A) {1,2,3,4,5,7} (B) {5,7} (C) {6} (D) { }
\n" ); document.write( "I am guessing that this one is (B) since those numbers are the only ones not included in both sets.\r
\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).\r
\n" ); document.write( "\n" ); document.write( "6. Suppose E and F are mutually exclusive, then n(E∩F) = _____.
\n" ); document.write( "

Algebra.Com's Answer #316688 by stanbon(75887)\"\" \"About 
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
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\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
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\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) { }
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\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
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\n" ); document.write( "6. Suppose E and F are mutually exclusive, then n(E∩F) = _____
\n" ); document.write( "Answer: zero
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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