1.Let U = {a, b, c, d,..., z), A = {a, e, i, o, u, y}, and B ={m, a, t, h, e, i, c, s}. List the elements in each of the following sets(a) AUB(b) An B(c) ANB

Given: U=a,b,c,d,…,z A=a,e,i,o,u,y B=m,a,t,h,e,i,c,s To find: A∪B A∩B A∩B¯

Answered: 1. Let U = {a, b, c, d,..., z}, A = {a,…

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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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
U = {1, 2, 3, 4, 5, 6, 7, 8, 9} A= {2, 3, 5, 8} B = {1, 3, 5, 7, 9} C = {3, 5} D is a set containing 2 elements and D ⊂ A' and D ∩ B = Ø. (n) List the elements of D.
13. consider the following sets: U={-5,-4,-3,-2,-1,0,1,2,3,4,5}; A={x: x^2=25} ;B={-5,0,1,2,3,4,5} ; C={x:x^2-5x+6=0}. What is ANB? *
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11. consider the following sets: U = {-5,–4,–3, – 2, –1,0,1,2,3,4,5}, A = {x: x² = 25}, B = {-5,0,1,2,3,4, 5} C = {x:x² – 5x + 6 = 0}. a. What is A O B? b. Which is equal to B\C? c. Which set is equal to (B\A)°? d. What is the cardinality of a countably infinite set?

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1. Let U = {a, b, c, d,..., z}, A = {a, e, i, o, u, y}, and B = {m, a, t, h, e, i, c, s}. List the elements in each of the following sets (a) AUB (b) An B (c) ANB