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Let A = {1, 4, 5, 6, 9, 10}, B = {1, 4, 8, 9}, C = {1, 6, 83, and D = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 103. Indicate if each statement is true or false. 2 € B False 3 € C False BCA False CCA False CCB False ACD True ACB False

Let A = {1, 4, 5, 6, 9, 10}, B = {1, 4, 8, 9}, C = {1, 6, 83, and D = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 103. Indicate if each statement is true or false. 2 € B False 3 € C False BCA False CCA False CCB False ACD True ACB False

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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please explaing how this is correct

### Set Theory Exercise: Indicating True or False Statements Given the sets: - **Set A**: {1, 4, 5, 6, 9, 10} - **Set B**: {1, 4, 8, 9} - **Set C**: {1, 6, 8} - **Set D**: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} Evaluate whether each statement below is true or false: 1. **2 ∈ B** (Is 2 an element of Set B?) - **Answer**: False 2. **3 ∈ C** (Is 3 an element of Set C?) - **Answer**: False 3. **B ⊆ A** (Is Set B a subset of Set A?) - **Answer**: False 4. **C ⊆ A** (Is Set C a subset of Set A?) - **Answer**: False 5. **C ⊆ B** (Is Set C a subset of Set B?) - **Answer**: False 6. **A ⊆ D** (Is Set A a subset of Set D?) - **Answer**: True 7. **A ⊂ B** (Is Set A a proper subset of Set B?) - **Answer**: False Each statement is followed by a dropdown box indicating the answer, and a check mark confirming the correctness of the selection. ### Explanation: - **Statement 1**: "2 ∈ B" is False because 2 is not an element of Set B. - **Statement 2**: "3 ∈ C" is False because 3 is not an element of Set C. - **Statement 3**: "B ⊆ A" is False because not all elements of Set B are in Set A (e.g., 8 is in B but not in A). - **Statement 4**: "C ⊆ A" is False because not all elements of Set C are in Set A (e.g., 8 is in C but not in A). - **Statement 5**: "C
Transcribed Image Text:### Set Theory Exercise: Indicating True or False Statements Given the sets: - **Set A**: {1, 4, 5, 6, 9, 10} - **Set B**: {1, 4, 8, 9} - **Set C**: {1, 6, 8} - **Set D**: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} Evaluate whether each statement below is true or false: 1. **2 ∈ B** (Is 2 an element of Set B?) - **Answer**: False 2. **3 ∈ C** (Is 3 an element of Set C?) - **Answer**: False 3. **B ⊆ A** (Is Set B a subset of Set A?) - **Answer**: False 4. **C ⊆ A** (Is Set C a subset of Set A?) - **Answer**: False 5. **C ⊆ B** (Is Set C a subset of Set B?) - **Answer**: False 6. **A ⊆ D** (Is Set A a subset of Set D?) - **Answer**: True 7. **A ⊂ B** (Is Set A a proper subset of Set B?) - **Answer**: False Each statement is followed by a dropdown box indicating the answer, and a check mark confirming the correctness of the selection. ### Explanation: - **Statement 1**: "2 ∈ B" is False because 2 is not an element of Set B. - **Statement 2**: "3 ∈ C" is False because 3 is not an element of Set C. - **Statement 3**: "B ⊆ A" is False because not all elements of Set B are in Set A (e.g., 8 is in B but not in A). - **Statement 4**: "C ⊆ A" is False because not all elements of Set C are in Set A (e.g., 8 is in C but not in A). - **Statement 5**: "C
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