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