Let U = {10, 11, 13,14,15,16,17,20} be a universal set, and the ordering of elements of U has the elements in increasing order. A set A has bit string representation 11100001. Select all of the following that are members of A. 0 0 17 15 11 13 ☐ 10 14 20 16

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let \( U = \{10, 11, 13, 14, 15, 16, 17, 20\} \) be a universal set, and the ordering of elements of \( U \) has the elements in increasing order. A set \( A \) has bit string representation 11100001. Select all of the following that are members of \( A \).

- [ ] 17
- [ ] 15
- [ ] 11
- [ ] 13
- [ ] 10
- [ ] 14
- [ ] 20
- [ ] 16

### Explanation

The bit string 11100001 corresponds to the presence (1) and absence (0) of elements from the universal set \( U \).

- **17 (1)**: Included
- **15 (1)**: Included
- **11 (1)**: Included
- **13 (0)**: Not included
- **10 (0)**: Not included
- **14 (0)**: Not included
- **20 (0)**: Not included
- **16 (1)**: Included

Therefore, select 17, 15, 11, and 16 as members of set \( A \).
Transcribed Image Text:Let \( U = \{10, 11, 13, 14, 15, 16, 17, 20\} \) be a universal set, and the ordering of elements of \( U \) has the elements in increasing order. A set \( A \) has bit string representation 11100001. Select all of the following that are members of \( A \). - [ ] 17 - [ ] 15 - [ ] 11 - [ ] 13 - [ ] 10 - [ ] 14 - [ ] 20 - [ ] 16 ### Explanation The bit string 11100001 corresponds to the presence (1) and absence (0) of elements from the universal set \( U \). - **17 (1)**: Included - **15 (1)**: Included - **11 (1)**: Included - **13 (0)**: Not included - **10 (0)**: Not included - **14 (0)**: Not included - **20 (0)**: Not included - **16 (1)**: Included Therefore, select 17, 15, 11, and 16 as members of set \( A \).
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