Sets A, B, and Care subsets of the universal set U. These sets are defined as follows. U= {1, 2, 3, 4, 5, 6, 7, 8, 9} A = {1,6,7,8,9} B = {1, 3, 4, 7, 9) C = {4, 5, 6, 7} Find CU ( BA)'. Write your answer in roster form or as Ø. CU (BNA): = 0 Х 5 ?
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...
Let U = (1, 2, 3, 4, 5, 6, 7, 8, 9, 10), A = (1, 3, 5, 7, 9), 8 (2, 4, 6, 8, 10), and C (1, 2, 3, 4, 5, 10). List the elements of each set. (Enter your answers using roster notation. Enter EMPTY or for the empty set.) (a) 4 {2, 4, 6, 8, 10) (Đ) 1 0 0 {2,4, 10) X (1) cuc {}
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).
Let S be the universal set, where: S = {1, 2, 3, ..., 18, 19, 20} Let sets A and B be subsets of S, where: Set A = {2,5, 6, 7, 8, 14, 18} Set B = {1, 2, 3, 4, 7, 9, 10, 11, 12, 14, 18, 19, 20} Find the following: The cardinality of the set (A U B): n(AUB) = The cardinality of the set (A n B): n(An B) is You may want to draw...
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)
3. (7pts). Let S ,2, 3, 4, 5, 6, 7, 8, 9, 10 be our Sample space and A 1,2, 3, 4, 5, 6) and B Calculate the sets of: 5, 6, 7, 8, 9) be two sets of elements ofS AUB (AUB) (AnB)
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)
Exercise 3.8. Let A { 1, 3, 5, 7, 9), B-{0.2, 4, 6, 8], C-(1, 2, 4, 5, 7, 8}, and Ω={0.1.2, 3,4,5, 6, 7, 8, 9). Find the following: a An BuC, and An (BUC) (Note that these aren't the same!) b (An B) U (AnC), and An(BUC) c AUB, and AuB. Are these the same?
8. Let A and B be subsets of some universal set U. From Proposition 5.10, we know that if A S B, then B S A. Now prove the following proposition: For all sets A and B that are subsets of some universal set U, A C B if and only if B S A.