B. Identify whether each statement is true or false.
1. {f, i, v, e} c{t, e, n}
2.
{5, 10}{1, 2, 3, 4, ...}
3. {2, 4, 6} {1, 2, 3, 4, ...}
C. Given: U= {H, O, N, E, S, T, Y), A = {0, N, E), B = {Y, E, S}, C = {H, O, N, E, Y},
D = {T, O, Y), and E= {T, E, N, S}. Find:
3.
C'
5.
E'
4. D'
1. A'
2. B'
4. {x} c{a, b, c, ..., z}
5. (P, O, T) C (S, P, O, T)
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Answer:
B. Here are the answers for each statement:
1. {f, i, v, e} c{t, e, n} - **False**
2. {5, 10}{1, 2, 3, 4, ...} - **True**
3. {2, 4, 6} {1, 2, 3, 4, ...} - **False**
C. Given:
- U = {H, O, N, E, S, T, Y}
- A = {0, N, E}
- B = {Y, E, S}
- C = {H, O, N, E, Y}
- D = {T, O, Y}
- E = {T, E, N, S}
C':
- C' = {S, T}
E':
- E' = {H, O}
D':
- D' = {H, E, S, O, N}
A':
- A' = {H, O, S, T, Y}
B':
- B' = {H, O, N}
D. Here are the answers for the set operations:
3. C' = {S, T}
5. E' = {H, O}
4. D' = {H, E, S, O, N}
1. A' = {H, O, S, T, Y}
2. B' = {H, O, N}
4. {x} c{a, b, c, ..., z} - **True**
5. (P, O, T) C (S, P, O, T) - **True**
Remember that "c" represents the subset relationship, and "C" represents the set intersection relationship.
Step-by-step explanation: