Given the following sets:
A = {2,3,4,5}
B = {5,6,7,8}
C = {7,8,9,10}
a. Write a Set A and B in set builder form
b. Evaluate the following:
i. Union of Set A,B and C
ii. Intersection of Set A and B and Set B and C
iii. Illustrate the Intersection of Set B and C
iv. Complement of Set A union B?
a. Set A in set builder form: A = {x | x is a natural number such that 2 ≤ x ≤ 5}
Set B in set builder form: B = {x | x is a natural number such that 5 ≤ x ≤ 8}
b.
i. Union of Set A, B, and C:
A ∪ B ∪ C = {2,3,4,5,6,7,8,9,10}
ii.
Intersection of Set A and B:
A ∩ B = {5}
Intersection of Set B and C:
B ∩ C = {7,8}
iii.
Illustration of the Intersection of Set B and C:
B = {5,6,7,8}
C = {7,8,9,10}
B ∩ C = {7,8}
iv.
Complement of Set A union B:
U = universal set
Complement of (A ∪ B) = {x | x ∈ U, x ∉ A ∪ B}