Enter your answer here Q9 Set operations 2 Points Let the universal set, U = {1,2,3,4,5,6,7)....
2. Let A-(2, 3, 4), B = {3, 4, 5, 6), and suppose the universal set is U-(1,2 all the elements in the following sets. ,9). List (a) (A U B) (b) (ANB) × A (c) P(An B)
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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...
Let A, B, and be subsets of a universal set U and suppose n(U) - 200, n(A) -21, n(B) = 23, (C) -27, [ AB) - 7, n(ANC) - 10, n(BC) - 13, and ( ABN) - 3. Compute: (a) MAN (BUCI (b) AN (BU09
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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...
C)=5, n( A B C) -2, and n(AUB A universal sot U consists of 14 elements. If sets A, B, and Care proper subsets of U and (U) = 14, n(An B)=n(An C)=n( B UC)=11, determine each of the following a) n(AUB) b) n(A'UC) c) n(ANB)' a) n(AUB)- (Simplify your answer.) b) n(AUC) - (Simplify your answer.) c) n(ANB)- (Simplify your answer.) Enter your answer in each of the answer boxes
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...
Let U ={a, b, c, d, e, f, g, h, i, j, k}. Let A={d, f, g, h, i, k}. Let B={a, d, f, g, h}. Let C={a, c, f. i, k} Determine (AUC) U ( AB). Choose the correct answer below and, if necessary, fill in the answer box in your choice. OA. (AUC) U(ANB)= } (Use a comma to separate answers as needed.) OB. (A'UC) U (ANB) is the empty set. LE This Question: 1 pt Let U={x|XEN...
11. Let the universal set be the set U = {a,b,c,d,e,f,g} and let A = {a,c,e,g} and B = {d, e, f, g}. Find: A ∪ B 12. Let the universal set be the set U = {a,b,c,d,e,f,g} and let A = {a,c,e,g} and B = {d, e, f, g}. Find: b. A ∩ B 13. Let the universal set be the set U = {a,b,c,d,e,f,g} and let A = {a,c,e,g} and B = {d, e, f, g}. Find: AC...
Question 1# For universal set U = {a,b,c,...,} (the alphabet) let V be the set of all letters used in the name "Vincent Van Gogh" and let W be the set of letters used in the word "watercolourist". How many members have each of the following sets? Show your enumeration calculation. (a) V (b) VW () VAW (c) VUW (f) P(V) (the power set of V] (d) V W
2. Mark each statement True or False. Justify your answer. (6 points each) (a) (A\B) U ( BA) = (AUB) (ANB). (m) º (7.1+5) = (a :) n=2 1 3. Let A = {J,Q,K) and B = {4,0}. Find (list thc clements of) the set A x B. Find |A x B) and P(A x B) (9 points) 3