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1. Use set-roster notation to indicate the elements in the following set: S= {n € Z | -3 < n< 1}

1. Use set-roster notation to indicate the elements in the following set: S= {n € Z | -3 < n< 1}

Advanced Engineering Mathematics
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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1. Use set-roster notation to indicate the elements in the following set: S= {n € Z | -3 < n< 1} 2. Use a number line to visualize the following set: S = {n E R | 5 <n< 10} 3. Let A = {1, 2, 3}. What is |A|? 4. Let B = {1, 2, 3, 4, 3, 2, 1}. What is |B|? 5. Let A = {1, 2, 3} and C = {a, b, c, d, e}. What is |A x C|? 6. Let A = {1, 2} and C = {a, b}. Use set roster notation to indicate the members of A x C. 7. Let A = {0, 1, 2} and B = {1, 2, 3}. If an element x in A is related to an element y in B iff x > y, which elements x and y are related to each other? (Stated another way: { (x, y) E A x B | x > y} ). To answer, visualize this relation using an arrow diagram.
Transcribed Image Text:1. Use set-roster notation to indicate the elements in the following set: S= {n € Z | -3 < n< 1} 2. Use a number line to visualize the following set: S = {n E R | 5 <n< 10} 3. Let A = {1, 2, 3}. What is |A|? 4. Let B = {1, 2, 3, 4, 3, 2, 1}. What is |B|? 5. Let A = {1, 2, 3} and C = {a, b, c, d, e}. What is |A x C|? 6. Let A = {1, 2} and C = {a, b}. Use set roster notation to indicate the members of A x C. 7. Let A = {0, 1, 2} and B = {1, 2, 3}. If an element x in A is related to an element y in B iff x > y, which elements x and y are related to each other? (Stated another way: { (x, y) E A x B | x > y} ). To answer, visualize this relation using an arrow diagram.
8. For each of the following named sets, please give an example of a member of the set and an example of something that is not a member of the set: A. Z+ i. Example member: ii. Example of something that is not a member of Z*, but is a member of Z:
Transcribed Image Text:8. For each of the following named sets, please give an example of a member of the set and an example of something that is not a member of the set: A. Z+ i. Example member: ii. Example of something that is not a member of Z*, but is a member of Z:
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