Define the sets A, B, C, D, and E as follows: A = {1,2,6} B = {2,3,4} C = {5} D
ID: 3781822 • Letter: D
Question
Define the sets A, B, C, D, and E as follows:
A = {1,2,6}
B = {2,3,4}
C = {5}
D = { X Z: 1 X 6}
E = { X Z: 1 < X < 6}
Use the definitions for A, B, C, D, and E to answer the questions.
Do the sets A, B, and C form a partition of the set D? If not, which condition of a partition is not satisfied?
8)
Do the sets B and C form a partition of the set D? If not, which condition of a partition is not satisfied?
9)
Do the sets B and C form a partition of the set E? If not, which condition of a partition is not satisfied?
10)
Do the sets A, B, and C form a partition of the set D? If not, which condition of a partition is not satisfied?
8)
Do the sets B and C form a partition of the set D? If not, which condition of a partition is not satisfied?
9)
Do the sets B and C form a partition of the set E? If not, which condition of a partition is not satisfied?
10)
Explanation / Answer
Solution:
A = {1,2,6}
B = {2,3,4}
C = {5}
D = { X Z: 1 X 6}
E = { X Z: 1 < X < 6}
Do the sets A, B, and C form a partition of the set D? If not, which condition of a partition is not satisfied?
D = { X Z: 1 X 6}
ABC = D = { 1,2,3,4,5,6 }
8. D = {1,2,3,4,5,6 }
Do the sets B and C form a partition of the set D? If not, which condition of a partition is not satisfied?
D = { X Z: 1 X 6}
BC = D= { 2,3,4,5 }
9. D = { 2,3,4,5 }
Do the sets B and C form a partition of the set E? If not, which condition of a partition is not satisfied?
E = { X Z: 1 < X < 6}
BC = E={ 2,3,4,5 }
10. E = { 2,3,4,5 }
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