Let U = {7, 8, 9, 10, 11, 12, 13}, A = {7, 8, 9, 10}, B = {7, 8, 11, 12}, and C = {9, 11, 13}. List all the members of the given set.
A ∪ (B ∩ C)
To find the members of the set A ∪ (B ∩ C), we need to perform two operations: intersection and union.
First, let's find B ∩ C, which means finding the common elements between sets B and C.
Set B = {7, 8, 11, 12}
Set C = {9, 11, 13}
The common elements between B and C are {11}.
Next, let's perform the union operation between set A and the result of B ∩ C.
Set A = {7, 8, 9, 10}
(B ∩ C) = {11}
Now, let's find the union of sets A and (B ∩ C), which means combining all the elements from both sets.
A ∪ (B ∩ C) = {7, 8, 9, 10} ∪ {11}
The union of sets A and (B ∩ C) is {7, 8, 9, 10, 11}.
Therefore, the members of the set A ∪ (B ∩ C) are {7, 8, 9, 10, 11}.