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
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)
(2) Find their intersection and union: Let A={1,3,5,7,9}, B = {2, 4, 6, 8, 10}, C = {1,2,3,4,5}, (2a) (a) AnB =? (2b (b) AnC =? (c) AUB=? (2c). (d) AUC =? (20) (4) Express the following compound inequality: * <4 AND 3-1 (a) in set-builder notation:) (4a) (b) (graph it on the number line:) - -3 3 (c) (in interval notation:) (4c) (3) Answer the following questions: (if A and B are two sets) (a) (The keyword AND A...
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 {}
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?
Q1 lf S-(Q 1, 2, 3, 4, 5, 6, 7, 8, 9} and A-|0, 2, 4, 6, 8], B (1, 3, 5, 7, 9), C (2, 3, 4, 5), and D [1,6,7], list the elements of the sets corresponding to the following events: (a) A U C; (b) An B; (d) (C' n D) U B; (e) (s n c)' (f) Anc n D'.
Let the sample space be Upper S equals StartSet 1 comma 2 comma 3 comma 4 comma 5 comma 6 comma 7 comma 8 comma 9 comma 10 EndSetS={1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Suppose the outcomes are equally likely. Compute the probability of the event Upper E equals StartSet 1 comma 2 comma 4 comma 6 EndSetE={1, 2, 4, 6}.
Given the following sets: S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, Even numbers A = {2, 4, 6, 8, 10}; Odd number B = {3, 5, 7, 9}; Natural numbers N = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and Prime numbers C = {2, 3, 5, 7} Find the following: a) A ∪ C b) A ∩ N c) A ’ d) B ∩ N e) B ∪ N f) C...
Let the sample space be S . (1, 2, 3 4 5 6,7 8, 9 10) Suppose the outor es are equaly likely Compute the probatiny ofthe evet E-an odd number less tan?" RE)-□(Type an integer or a decimal. Do not round.)
0 Q1 D lf S- {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} and A-|0, 2, 4, 6, 8], B (1, 3, 5, 7,9), С (2, 3, 4, 5), and [1,6,7], list the elements of the sets corresponding to the following events: (a) A U C; (b) A n B; (d) (C' n D) U B; (e) (s n c)' (f) Anc n D'.