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![6 A = U-A - 14-8 T n(Alve) = n(A) + n(c)-ncAnc) = n(A + n(C)-in (0) - n(Anc)) - 6+8 -(8-5] - 14-3 = 11 In (Alue) = 11 n(ANB)](http://img.homeworklib.com/questions/a62524d0-24cf-11eb-b1e6-838e771515d8.png?x-oss-process=image/resize,w_560)
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C)=5, n( A B C) -2, and n(AUB A universal sot U consists of 14 elements....
A,C,G please 1. Let A, B, and C be subsets of some universal set u. Prove...
A,C,G please
1. Let A, B, and C be subsets of some universal set u. Prove the following statements from Theorem 4.2.6 (a) AUA=/1 and AnA=A. (b) AUO- A and An. (c) AnB C A and ACAUB (d) AU(BUC)= (A U B) U C and An(B n C)-(A n B) n C. (e) AUB=BUA and A n B = B n A. (f) AU(BnC) (AU B) n(AUC) (g) (A U B) = A n B (h) AUA=1( and An-=0. hore...
someone please help Let U be the universal set, where: U = {1, 2, 3, 4,...
someone please help
Let U be the universal set, where: U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17) Let sets A, B, and C be subsets of U, where: A = {1, 3, 4, 5, 12, 14, 15) B = {1, 2, 7, 13} C = {3, 7, 10, 14, 16} Find the following: LIST the elements in the set A U : AU = { Enter the elements...
D Question 7 Let A and B be subsets of a universal set U with n...
D Question 7 Let A and B be subsets of a universal set U with n (U)-32, n (A) = 11, n (B) = 17, and n (AUB) = 25. Compute n(A' nB) D Question 8 Let A and B be subsets of a universal set U with n (U)-32, n (A)-11, n (B)-17, and n (A U B)=25 Compute n (AUB).
1. Let U be the universal set with disjoint subsets A and B, where n(U-46, n(A-15,...
1. Let U be the universal set with disjoint subsets A and B, where n(U-46, n(A-15, and n(B-14. Find nAn B 2. A merchant surveyed 300 people to determine the way they leaned about an upcoming sale. The survey showed that 180 learned about the sale from the radio, 170 from television, 130 from the newspaper, 120 from radio and television, 70 from radio and newspapers, 80 from television and newspapers, and 60 from all three sources. How many people...
Prove equalities involving sets A, B, C and D a) (AIB)U(C1B) = (AUC) IB b) (AUB)-(ANB)...
Prove equalities involving sets A, B, C and D a) (AIB)U(C1B) = (AUC) IB b) (AUB)-(ANB) = (A-8)U(-A) c) (AxB) OLC xD) - (ANC) x (BND) d) (AXB) (BAA) = (ANB)X(AMB)
Please help me prove 2,4, and 5. Thank you Theorem 17. Let A, B and C...
Please help me prove 2,4, and 5. Thank you
Theorem 17. Let A, B and C be sets. Then the following statements are true: (1) AB CA; (2) B CAUB; (3) A CAUB; (4) AB=BA; (5) AU (AUC) = (AUB) UC; (6) An(BNC) = (ANB) nC; (7) An (BUC) = (ANB) U (ANC); (8) AU (BAC) = (AUB) n(AUC).
6. Let A, B, and C be subsets of some universal set U. Prove or disprove each of the following: *...
6. Let A, B, and C be subsets of some universal set U. Prove or disprove each of the following: * (a) (A n B)-C = (A-C) n (B-C) (b) (AUB)-(A nB)=(A-B) U (B-A)
6. Let A, B, and C be subsets of some universal set U. Prove or disprove each of the following: * (a) (A n B)-C = (A-C) n (B-C) (b) (AUB)-(A nB)=(A-B) U (B-A)
Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} be the universal...
Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} be the universal set. Consider the two subsets A = {0, 2, 4, 6, 8} and B = {0,3,6,9}. Use the roster method to write each of the following sets (a) AUB. (b) An B. (c) AC. (d) (AUB) – AC
Consider the following venn diagram with universal set, U, and sets A and B. The numbers...
Consider the following venn diagram with universal set, U, and
sets A and B. The numbers in the diagram give the COUNTS of
elements in the region. Assume we know that: n(U)=196
Consider the following venn diagram with universal set, U, and sets A and B. The numbers in the diagram give the COUNTS of elements in the region. Assume we know that: n(U) 196 Ul 37 79 69 Find each of the following: ROUND TO THREE DECIMAL PLACES! P(A)-...
c We define the operation * on subsets of a universal set U as follows. For...
c
We define the operation * on subsets of a universal set U as follows. For any two sets A and B: A*B:= AUB Answer the following questions using the Laws of Set Operations and any derived results given in lec- tures) to justify your answer: (a) What is (A + B) * (A*B)? (b) Express A using only A, * and parentheses (if necessary). (c) Express using only A, * and parentheses (if necessary). (d) Express A | B...
A,C,G please
1. Let A, B, and C be subsets of some universal set u. Prove the following statements from Theorem 4.2.6 (a) AUA=/1 and AnA=A. (b) AUO- A and An. (c) AnB C A and ACAUB (d) AU(BUC)= (A U B) U C and An(B n C)-(A n B) n C. (e) AUB=BUA and A n B = B n A. (f) AU(BnC) (AU B) n(AUC) (g) (A U B) = A n B (h) AUA=1( and An-=0. hore...
someone please help
Let U be the universal set, where: U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17) Let sets A, B, and C be subsets of U, where: A = {1, 3, 4, 5, 12, 14, 15) B = {1, 2, 7, 13} C = {3, 7, 10, 14, 16} Find the following: LIST the elements in the set A U : AU = { Enter the elements...
D Question 7 Let A and B be subsets of a universal set U with n (U)-32, n (A) = 11, n (B) = 17, and n (AUB) = 25. Compute n(A' nB) D Question 8 Let A and B be subsets of a universal set U with n (U)-32, n (A)-11, n (B)-17, and n (A U B)=25 Compute n (AUB).
1. Let U be the universal set with disjoint subsets A and B, where n(U-46, n(A-15, and n(B-14. Find nAn B 2. A merchant surveyed 300 people to determine the way they leaned about an upcoming sale. The survey showed that 180 learned about the sale from the radio, 170 from television, 130 from the newspaper, 120 from radio and television, 70 from radio and newspapers, 80 from television and newspapers, and 60 from all three sources. How many people...
Prove equalities involving sets A, B, C and D a) (AIB)U(C1B) = (AUC) IB b) (AUB)-(ANB) = (A-8)U(-A) c) (AxB) OLC xD) - (ANC) x (BND) d) (AXB) (BAA) = (ANB)X(AMB)
Please help me prove 2,4, and 5. Thank you
Theorem 17. Let A, B and C be sets. Then the following statements are true: (1) AB CA; (2) B CAUB; (3) A CAUB; (4) AB=BA; (5) AU (AUC) = (AUB) UC; (6) An(BNC) = (ANB) nC; (7) An (BUC) = (ANB) U (ANC); (8) AU (BAC) = (AUB) n(AUC).
6. Let A, B, and C be subsets of some universal set U. Prove or disprove each of the following: * (a) (A n B)-C = (A-C) n (B-C) (b) (AUB)-(A nB)=(A-B) U (B-A)
6. Let A, B, and C be subsets of some universal set U. Prove or disprove each of the following: * (a) (A n B)-C = (A-C) n (B-C) (b) (AUB)-(A nB)=(A-B) U (B-A)
Let U = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} be the universal set. Consider the two subsets A = {0, 2, 4, 6, 8} and B = {0,3,6,9}. Use the roster method to write each of the following sets (a) AUB. (b) An B. (c) AC. (d) (AUB) – AC
Consider the following venn diagram with universal set, U, and
sets A and B. The numbers in the diagram give the COUNTS of
elements in the region. Assume we know that: n(U)=196
Consider the following venn diagram with universal set, U, and sets A and B. The numbers in the diagram give the COUNTS of elements in the region. Assume we know that: n(U) 196 Ul 37 79 69 Find each of the following: ROUND TO THREE DECIMAL PLACES! P(A)-...
c
We define the operation * on subsets of a universal set U as follows. For any two sets A and B: A*B:= AUB Answer the following questions using the Laws of Set Operations and any derived results given in lec- tures) to justify your answer: (a) What is (A + B) * (A*B)? (b) Express A using only A, * and parentheses (if necessary). (c) Express using only A, * and parentheses (if necessary). (d) Express A | B...
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