Question

Set D and the universal set U are defined as follows. U= {4,5,6,7,8,9) D= {4,7,8) Find the following sets. Write your answer in roster form or as Ø. (a) DUU = (b) D'n Ø =

Answer 1

The set DUU is {4, 7, 8} and D'n Ø is Ø.

Step-by-step explanation:

(a) In this question, DUU refers to the set that contains all elements that are in D and U. The given set D is {4, 7, 8}, and the universal set U is {4, 5, 6, 7, 8, 9}. To find the set DUU, we need to look for the elements that are common in both D and U. So, DUU = {4, 7, 8}.

(b) The symbol 'n' represents the intersection of two sets, which means finding the elements that are common to both sets. In this case, D'n Ø refers to the intersection of the set D and the empty set Ø. Since the empty set has no elements, there are no elements that are common between D and Ø. Therefore, D'n Ø = Ø.