210 Select the definitions for sets A and B below that show that the set equation given below is not a set identity. (B-A)UA = B A = {1} and B = {1} O A = {1, 2} and B = {2,3} A = {1} and B = {1, 2} A = {2, 4, 5) and B = {1, 2, 3, 4, 5) 30,440 A zoom NOV 1 MacBook Pro O W ✓

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Discrete Math
**Set Theory Exercise**

**Objective:** Identify definitions for sets \( A \) and \( B \) that demonstrate the equation below is not a set identity.

**Equation:**

\[
(B - A) \cup A = B
\]

**Options:**

1. \( A = \{1\} \) and \( B = \{1\} \)
2. \( A = \{1, 2\} \) and \( B = \{2, 3\} \)
3. \( A = \{1\} \) and \( B = \{1, 2\} \)
4. \( A = \{2, 4, 5\} \) and \( B = \{1, 2, 3, 4, 5\} \)

**Instruction:** Choose the appropriate sets where the given equation does not hold true.
Transcribed Image Text:**Set Theory Exercise** **Objective:** Identify definitions for sets \( A \) and \( B \) that demonstrate the equation below is not a set identity. **Equation:** \[ (B - A) \cup A = B \] **Options:** 1. \( A = \{1\} \) and \( B = \{1\} \) 2. \( A = \{1, 2\} \) and \( B = \{2, 3\} \) 3. \( A = \{1\} \) and \( B = \{1, 2\} \) 4. \( A = \{2, 4, 5\} \) and \( B = \{1, 2, 3, 4, 5\} \) **Instruction:** Choose the appropriate sets where the given equation does not hold true.
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