If the universal set, U= {1,2,3,4,5,6,7,8,9,10} and A = {1,4,7,9,10} ,B= {1,2,3,4,5} and C = {2,4,6,8}List the members of each of the following sets:(AU B)a.b.A - (BUC)(AU B) n C°с.d.

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Answered: If the universal set, U=…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Let U = {1,2, 3, 4, 5, 6, 7, 8, 9, 10} and A = {1,3,5, 7, 9} and B = {1,4,5, 9}. (a) Find AU B (b) Find An B (c) Use a Venn diagram to represent these sets.
B. 1. {4} 2.12 xercises 1.2.2 universal set of the following sets. A = {1, 4, 5), B = {2, 3, 4) and C = {5, 6, 7} D=(2, 4), B = {6, 8, 10} A = { }, B = {a, b, c), C = {x, y, z) and D= {m, v, t} A = {prime numbers less than 20} and B = {composite numbers less than 20 5. A = {odd numbers less than 5} and B = {even numbers less than 5} Fill in each blank with E, E, C, Cor Z.. _{1, 2,4} {odd numbers} 3. (5, 6, 7}{6, 7,5} 4. {13} _{2, 4, 6, ...} 5. {c} {xx is a consonant letter} Listing the 6. {0} 7. {1} 8. { } 9. { } 10. red C. Classify each statement as TRUE or FALSE. If A = {1, 2, 3, 4, 5}, B = {2, 3, 4) and C = {2, 4, 5} 1. ACB 4. A CA 2. BCC 5. B CA 3. C&B 6. CCA {xx is a whole number} {{1}, {2}, {3}} Ø {xx is a herbivore that eats meat) {x|x is a primary color} 7. BCC 8.0 CA 9. A&C False 10. {} CB Topic relat U
QUESTION 3 A. Let U= {1,2,3,4,5,6,7,8,9,10,11,12}, let A = {1,2,4,7,8), let B = {5,7,9,11}, and let C = {5,7,8). 1. write down the following set in enumerated form: A U (Bn C) 2. Determine the set BX C 3. Write down the set represented by the bit string 101111001010 B. Let A = {a, b, c, d}. Let R be the relation on A defined as follows: R3D {(a, a), (a, b), (а, с), (b, b), (b, с), (с, а), (с, с), (d, d)} State, giving reasons, whether R is reflexive, symmetric, or antisymmetric.
Part I. For numbers 1-5, let the universe be the set {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. {1, 4, 7, 10}, В — {2, 4, 6, 8}. U Let A 3D (1, 2, 3, 4, 5}, and C = List the elements of each of the following set: 1. AUB 2. BnC 3. А — В 4. В A 5. A 6. What is the cardinality of Ø? 7. What is the cardinality of {Ø}? 8. What is the cardinality of D %3D (m, а, t, һ, е, т, а, t, i, с, s}
Sets D and A are defined as follows. D= {0, 1, 2, 3, 5, 7} A = (-2, 0, 4) Answer each part below. Write your answer in roster form or as Ø. (a) Find the intersection of D and A. 0 (b) Find the union of D and A. DUA = DnA = X 0,0,... Ś
For Questions 11 and 12. Consider the Universal Set U = {1, 2, 3, 4, 5, 6, 7, 8, 9} and sets A = {2, 4, 6, 8}, B = {1, 3, 5, 7}, and C = {4, 5, 6, 7}. List the elements in the sets described. 11) A n C ans 12) (A UC) n B For Questions 13 and 14. Use a Venn Diagram to illustrate the following information and answer questions about the survey results. 13) In a survey of 6500 people, 5100 had a car, 2280 had a pet, 5420 had a television set, 4800 had a tv and a car, 1500 had a tv and a pet, 1250 had a car and a pet, 1100 had all three. a) Illustrate the Venn Diagram. b) How many people had a tv and a pet, but did not have a car? c) How many people did not have a pet or a tv or a car? d) How many people only had a car?
Let A = {2, 3, 5, 6, 8} , B = {2, 6, 7, 8} С %3 (0, 1, 2, 4, 5, 7}. List the elements of the following sets. If there is more than one element write them separated by commas. AnB = { } AUB = { (BU C)NA = { BU (Cn A) = { }
U= {a, d, j, k, o, q, v} X = (a, j, o, v} Y = {a, d, j} Z = {d, j, k, o, q} Find the following set: (ZUX')'n Y Let: (ZUX')'nY= (Use a comma to separate answers as needed.) ***
Let 2 belongs to a set S. Now, consider the following definition if x belongs to S then (3x) belongs to S. Then the set S is - O a. S = {2, 6, 18, 54 ..} O b. S = {2, 5, 8, 11 Oc.S= {1,2, 6, 18, 54 . } Od S={0, 2, 6, 18, 54.}
The difference of two sets, A – B, is defined as the set containing all elements of A except those in B. That is, A - B = AN B'. Find A - B for the pair of sets if U = {1, 2, 3, 4, 5, 6, 7, 8, 9}. (Enter your answer in roster notation. Enter EMPTY or Ø for the empty set.) A = {3, 5, 9} and B = {2, 4, 6, 7, 8, 9} A - B =
Let U be the universal set, where: U = {1, 2, 3, 4, 5, 6, 7, 8, 9} Let sets A and B be subsets of U, where: A = {1, 3, 4, 8, 9} and B = {2, 4, 7, 8} Find (A U B)°: { } Find A° N B°: { Enter the elements as a list, separated by commas with no spaces, in order from smallest to largest. If the result is the empty set, enter DNE
Let A = {4,5, 6, 7,8}, B = {6,7,8, 9, 10}, and C = {5,8, 10}. Let U, the universal set, be {1,2,3,4,...}. a. Find AnB. b. Find AUB. c. Find A – B. d. Find An(BU C)°.

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If the universal set, U= {1,2,3,4,5,6,7,8,9,10} and A = {1,4,7,9,10}, B= {1,2,3,4,5} and C = {2,4,6,8} List the members of each of the following sets: (AU B) a. b. А- (BUC) (AU B) nC° c. d.