or each pair of sets, choose the best description. (a) A is the set of integers greater than 11 and less than 15. B={16, 17, 18, 19) (b) A is the set of odd numbers greater than 2 and less than 10. B is the set of integers greater than 16 and less than 21. (c) A={f, g, h) B=(g. p. q} (d) A={91, 92, 93, 94} B=(94, 93, 92, 91) Explanation Pair of sets h Check

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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### Identifying Equivalent and Equal Sets

**Instructions:** For each pair of sets, choose the best description.

---

#### Pair of sets
(a) 
- \( A \) is the set of **integers** greater than 11 and less than 15.
- \( B = \{16, 17, 18, 19\} \)

**Description:**
- ☐ equivalent but not equal
- ☐ equal but not equivalent
- ☐ both equivalent and equal
- ☐ neither equivalent nor equal

---

(b) 
- \( A \) is the set of **odd numbers** greater than 2 and less than 10.
- \( B \) is the set of integers greater than 16 and less than 21.

**Description:**
- ☐ equivalent but not equal
- ☐ equal but not equivalent
- ☐ both equivalent and equal
- ☐ neither equivalent nor equal

---

(c)
- \( A = \{f, g, h\} \)
- \( B = \{g, p, q\} \)

**Description:**
- ☐ equivalent but not equal
- ☐ equal but not equivalent
- ☐ both equivalent and equal
- ☐ neither equivalent nor equal

---

(d)
- \( A = \{91, 92, 93, 94\} \)
- \( B = \{94, 93, 92, 91\} \)

**Description:**
- ☐ equivalent but not equal
- ☐ equal but not equivalent
- ☐ both equivalent and equal
- ☐ neither equivalent nor equal

---

**Explanation** and **Check** buttons are provided at the bottom of the page for further guidance and verification.

*(C) 2023 McGraw Hill*
Transcribed Image Text:### Identifying Equivalent and Equal Sets **Instructions:** For each pair of sets, choose the best description. --- #### Pair of sets (a) - \( A \) is the set of **integers** greater than 11 and less than 15. - \( B = \{16, 17, 18, 19\} \) **Description:** - ☐ equivalent but not equal - ☐ equal but not equivalent - ☐ both equivalent and equal - ☐ neither equivalent nor equal --- (b) - \( A \) is the set of **odd numbers** greater than 2 and less than 10. - \( B \) is the set of integers greater than 16 and less than 21. **Description:** - ☐ equivalent but not equal - ☐ equal but not equivalent - ☐ both equivalent and equal - ☐ neither equivalent nor equal --- (c) - \( A = \{f, g, h\} \) - \( B = \{g, p, q\} \) **Description:** - ☐ equivalent but not equal - ☐ equal but not equivalent - ☐ both equivalent and equal - ☐ neither equivalent nor equal --- (d) - \( A = \{91, 92, 93, 94\} \) - \( B = \{94, 93, 92, 91\} \) **Description:** - ☐ equivalent but not equal - ☐ equal but not equivalent - ☐ both equivalent and equal - ☐ neither equivalent nor equal --- **Explanation** and **Check** buttons are provided at the bottom of the page for further guidance and verification. *(C) 2023 McGraw Hill*
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