For two sets A and B, if A=B, then (i) A and B have the same elements (ii) ACB and BCA (iii) x € Aiffa E B Which of the above (i), (ii) and (iii) are true? O Only (i) O Only (ii) O Only (iii) O All of (i), (ii) and (iii)

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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**Question:**

For two sets \( A \) and \( B \), if \( A = B \), then:

(i) \( A \) and \( B \) have the same elements

(ii) \( A \subseteq B \) and \( B \subseteq A \)

(iii) \( x \in A \) if and only if \( x \in B \)

**Which of the above (i), (ii) and (iii) are true?**

- Only (i)
- Only (ii)
- Only (iii)
- All of (i), (ii) and (iii)
Transcribed Image Text:**Question:** For two sets \( A \) and \( B \), if \( A = B \), then: (i) \( A \) and \( B \) have the same elements (ii) \( A \subseteq B \) and \( B \subseteq A \) (iii) \( x \in A \) if and only if \( x \in B \) **Which of the above (i), (ii) and (iii) are true?** - Only (i) - Only (ii) - Only (iii) - All of (i), (ii) and (iii)
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Step 1: Sets

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