A is the set of even numbers greater than 19 and less than 27. B=(20, 22, 24, 26) A={81, 82, 83) B = {71, 72, 73} A is the set of integers greater than 18 and less than 22. B is the set of integers greater than 18. A=(f. h, j, m} B={j.c. g) tion Check O equivalent but not equal O equal but not equivalent O both equivalent and equal O neither equivalent nor equal O equivalent but not equal O equal but not equivalent O both equivalent and equal O neither equivalent nor equal O equivalent but not equal O equal but not equivalent both equivalent and equal O neither equivalent nor equal O equivalent but not equal O equal but not equivalent O both equivalent and equal neither equivalent nor equal

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
**Identifying Equivalent and Equal Sets**

For each pair of sets, choose the best description.

| **Pair of sets** | **Description** |
| --- | --- |
| **(a)** A is the set of even numbers greater than 19 and less than 27. B = {20, 22, 24, 26} | o equivalent but not equal <br> o equal but not equivalent <br> o both equivalent and equal <br> o neither equivalent nor equal |
| **(b)** A = {81, 82, 83} B = {71, 72, 73} | o equivalent but not equal <br> o equal but not equivalent <br> o both equivalent and equal <br> o neither equivalent nor equal |
| **(c)** A is the set of integers greater than 18 and less than 22. B is the set of integers greater than 18. | o equivalent but not equal <br> o equal but not equivalent <br> o both equivalent and equal <br> o neither equivalent nor equal |
| **(d)** A = {f, h, j, m} B = {j, c, g} | o equivalent but not equal <br> o equal but not equivalent <br> o both equivalent and equal <br> o neither equivalent nor equal |

**Explanation:**  
Provide a detailed explanation of each pair of sets and the reasoning behind determining if they are equivalent, equal, both, or neither.

[Image depicts a screenshot of a webpage on an educational learning website, featuring a multiple-choice quiz on set theory regarding the identification of equivalent and equal sets.] 

(Note to the user: This text should be used for educational websites to efficiently communicate the concepts and practice problems related to set theory and equivalency.)
Transcribed Image Text:**Identifying Equivalent and Equal Sets** For each pair of sets, choose the best description. | **Pair of sets** | **Description** | | --- | --- | | **(a)** A is the set of even numbers greater than 19 and less than 27. B = {20, 22, 24, 26} | o equivalent but not equal <br> o equal but not equivalent <br> o both equivalent and equal <br> o neither equivalent nor equal | | **(b)** A = {81, 82, 83} B = {71, 72, 73} | o equivalent but not equal <br> o equal but not equivalent <br> o both equivalent and equal <br> o neither equivalent nor equal | | **(c)** A is the set of integers greater than 18 and less than 22. B is the set of integers greater than 18. | o equivalent but not equal <br> o equal but not equivalent <br> o both equivalent and equal <br> o neither equivalent nor equal | | **(d)** A = {f, h, j, m} B = {j, c, g} | o equivalent but not equal <br> o equal but not equivalent <br> o both equivalent and equal <br> o neither equivalent nor equal | **Explanation:** Provide a detailed explanation of each pair of sets and the reasoning behind determining if they are equivalent, equal, both, or neither. [Image depicts a screenshot of a webpage on an educational learning website, featuring a multiple-choice quiz on set theory regarding the identification of equivalent and equal sets.] (Note to the user: This text should be used for educational websites to efficiently communicate the concepts and practice problems related to set theory and equivalency.)
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