Question

U= {4, 5, 6, 7, 8, 9)

D= {4,5,8)
Find the following sets.
(a) D ∩ ∅ =
(b) D ∪ U =
a. ∅, {4, 5, 6, 7, 8, 9}
b. {4, 5, 8}, {4, 5, 6, 7, 8, 9}
c. {4, 5, 8}, {6, 7, 9}
d. ∅, {6, 7, 9}

Answer 1

The intersection of D and the empty set (∅) is ∅, and the union of D and U is {4, 5, 6, 7, 8, 9}.

Step-by-step explanation:

To find the intersection of two sets, you need to find the elements that are present in both sets. In this case, the sets are U = {4, 5, 6, 7, 8, 9} and D = {4, 5, 8}. The intersection of D and the empty set (∅) is ∅, which means that there are no common elements between D and the empty set.

To find the union of two sets, you need to combine all the elements from both sets without duplication. In this case, the sets are U = {4, 5, 6, 7, 8, 9} and D = {4, 5, 8}. The union of D and U is {4, 5, 6, 7, 8, 9}, which includes all the elements from both sets.