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a) A is the set of even numbers greater than 1 and less than 7. B is the set of integers greater than 15 and less than 19. b) A is the set of integers greater than 20 and less than 24. B = {21, 22, 23) (c) A=(73, 74, 75, 76) B = {21, 22, 23, 24) d) A={g,j,k) B = {n, p, q, r) W Pair of sets nation Check Description equivalent but not equal equal but not equivalent both equivalent and equal O neither equivalent nor equal equivalent but not equal O equal but not equivalent O both equivalent and equal O neither equivalent nor equal equivalent but not equal equal but not equivalent both equivalent and equal O neither equivalent nor equal equivalent but not equal equal but not equivalent both equivalent and equal neither equivalent nor equal © 2023 McGraw

a) A is the set of even numbers greater than 1 and less than 7. B is the set of integers greater than 15 and less than 19. b) A is the set of integers greater than 20 and less than 24. B = {21, 22, 23) (c) A=(73, 74, 75, 76) B = {21, 22, 23, 24) d) A={g,j,k) B = {n, p, q, r) W Pair of sets nation Check Description equivalent but not equal equal but not equivalent both equivalent and equal O neither equivalent nor equal equivalent but not equal O equal but not equivalent O both equivalent and equal O neither equivalent nor equal equivalent but not equal equal but not equivalent both equivalent and equal O neither equivalent nor equal equivalent but not equal equal but not equivalent both equivalent and equal neither equivalent nor equal © 2023 McGraw

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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## Identifying Equivalent and Equal Sets ### Pair of Sets #### (a) **Set Definitions:** - \( A \) is the set of even numbers greater than 1 and less than 7. - \( B \) is the set of integers greater than 15 and less than 19. **Choice Options:** 1. ☐ Equivalent but not equal 2. ☐ Equal but not equivalent 3. ☐ Both equivalent and equal 4. ☐ Neither equivalent nor equal #### (b) **Set Definitions:** - \( A \) is the set of integers greater than 20 and less than 24. - \( B = \{21, 22, 23\} \) **Choice Options:** 1. ☐ Equivalent but not equal 2. ☐ Equal but not equivalent 3. ☐ Both equivalent and equal 4. ☐ Neither equivalent nor equal #### (c) **Set Definitions:** - \( A = \{73, 74, 75, 76\} \) - \( B = \{21, 22, 23, 24\} \) **Choice Options:** 1. ☐ Equivalent but not equal 2. ☐ Equal but not equivalent 3. ☐ Both equivalent and equal 4. ☐ Neither equivalent nor equal #### (d) **Set Definitions:** - \( A = \{g, j, k\} \) - \( B = \{n, p, q, r\} \) **Choice Options:** 1. ☐ Equivalent but not equal 2. ☐ Equal but not equivalent 3. ☐ Both equivalent and equal 4. ☐ Neither equivalent nor equal ### Instructions Select the best description that matches the relationship between each pair of sets. ### Notes on Definitions: - **Equivalent sets:** Sets that have the same number of elements. - **Equal sets:** Sets that have exactly the same elements. ### Example Explanation No diagrams or graphs are present; the exercise consists solely of textual definitions and multiple-choice questions.
Transcribed Image Text:## Identifying Equivalent and Equal Sets ### Pair of Sets #### (a) **Set Definitions:** - \( A \) is the set of even numbers greater than 1 and less than 7. - \( B \) is the set of integers greater than 15 and less than 19. **Choice Options:** 1. ☐ Equivalent but not equal 2. ☐ Equal but not equivalent 3. ☐ Both equivalent and equal 4. ☐ Neither equivalent nor equal #### (b) **Set Definitions:** - \( A \) is the set of integers greater than 20 and less than 24. - \( B = \{21, 22, 23\} \) **Choice Options:** 1. ☐ Equivalent but not equal 2. ☐ Equal but not equivalent 3. ☐ Both equivalent and equal 4. ☐ Neither equivalent nor equal #### (c) **Set Definitions:** - \( A = \{73, 74, 75, 76\} \) - \( B = \{21, 22, 23, 24\} \) **Choice Options:** 1. ☐ Equivalent but not equal 2. ☐ Equal but not equivalent 3. ☐ Both equivalent and equal 4. ☐ Neither equivalent nor equal #### (d) **Set Definitions:** - \( A = \{g, j, k\} \) - \( B = \{n, p, q, r\} \) **Choice Options:** 1. ☐ Equivalent but not equal 2. ☐ Equal but not equivalent 3. ☐ Both equivalent and equal 4. ☐ Neither equivalent nor equal ### Instructions Select the best description that matches the relationship between each pair of sets. ### Notes on Definitions: - **Equivalent sets:** Sets that have the same number of elements. - **Equal sets:** Sets that have exactly the same elements. ### Example Explanation No diagrams or graphs are present; the exercise consists solely of textual definitions and multiple-choice questions.
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