6. Draw a Venn diagram illustrating the relationships between these sets. 1. Be U's 1, 2, 3, 4, 5, A's'2' 4, 5', and B's'1' 2, 3'. 2. Sea U = {0, 1,., 9}, A = { 1, 2, 3, 5 }, B = { 1, 3, 6, 8 }, C = { 1, 6, 7 }

6. Draw a Venn diagram illustrating the relationships between these sets. 1. Be U's 1, 2, 3, 4, 5, A's'2' 4, 5', and B's'1' 2, 3'. 2. Sea U = {0, 1,., 9}, A = { 1, 2, 3, 5 }, B = { 1, 3, 6, 8 }, C = { 1, 6, 7 }

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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Concept explainers

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.

Question

6.
Draw a Venn diagram illustrating the relationships between these sets.
1.
Be U's 1, 2, 3, 4, 5, A's'2' 4, 5', and B's'1' 2, 3'.
2.
Sea U = {0, 1,., 9}, A = { 1, 2, 3, 5 }, B = { 1, 3, 6, 8 }, C = { 1, 6, 7 }

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Answer numbers 4 to 6
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
15. 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}. Which set is equal to (BIA)^c? *
Let U= {1,2,3,4,5,6,7,8,9} A= {2,4,6,8} B= {1,2,3,4} and C= {5,7,9} Give a set, D, that is equivalent to C, but not equal to C. I am confused on the difference and how to proceed with this.
Let u = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, ..., 0} P = {1, 3, 5, 7, 9, 11, 13, ...,21} R= {2, 4, 6, 8, 10, 12} O= {3, 6, 9, 12, 15, 18} V= {4, 16, 20} E= {5, 10, 15, 20} Find: 1. P' 6. P - R 2. R 7. R- O 3. O' 8. P - O 4. V' 9. P - V 5. E' 10. O - E