II. A. List all the possible subsets of each.
1. {one, two, three}
2. {x,✓}
3. {S, T, O, P}
4.
5.
6.
B. Identify whether each statement is true or false.
1. {f, i, v, e} c{t, e, n}
4.
2.
(5, 10}
5.
3. {2, 4, 6}
{1, 2, 3, 4, ...}
{1, 2, 3, 4, ...}
1. A'
2.
B'
{P, R, I, M, E}
{4}
{ }
{x} = (a, b, c, ..., z}
(P, O, T) C (S, P, O, T)
C. Given: U= {H, O, N, E, S, T, Y}, A = {O, 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'
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Answer:
1. {one, two, three}: {}, {one}, {two}, {three}, {one, two}, {one, three}, {two, three}, {one, two, three}
2. {x, ✓}: {}, {x}, {✓}, {x, ✓}
3. {S, T, O, P}: {}, {S}, {T}, {O}, {P}, {S, T}, {S, O}, {S, P}, {T, O}, {T, P}, {O, P}, {S, T, O}, {S, T, P}, {S, O, P}, {T, O, P}, {S, T, O, P}
B. Let's analyze the statements:
1. {f, i, v, e} ⊆ {t, e, n}: False
2. (5, 10} ⊆ ?: Incomplete statement
3. {2, 4, 6} ⊆ {1, 2, 3, 4, ...}: True
4. ?: Incomplete statement
5. {1, 2, 3, 4, ...} ⊆ ?: Incomplete statement
6. 1. A': Incomplete statement
7. 2. B': Incomplete statement
8. {P, R, I, M, E} ⊆ ?: Incomplete statement
9. {4} ⊆ ?: Incomplete statement
10. { } ⊆ ?: Incomplete statement
11. {x} = (a, b, c, ..., z): Incomplete statement
12. (P, O, T) C (S, P, O, T): Incomplete statement
here are the complements of sets C and E:
3. C': {T}
5. E': {N}