Let U = {1, 2, 3, 4, 5, 6, 7, 8},
A = {2, 4, 5}, B = {2, 3, 6, 8}, and C = {1, 3, 7}.
Find the following. (Use the roster method to write the set. Enter EMPTY or ∅ for the empty set.)
A ∪ (B ∪ C)
To find A ∪ (B ∪ C), we first need to find B ∪ C.
B ∪ C = {2, 3, 6, 8} ∪ {1, 3, 7}
Combining the two sets, we have B ∪ C = {1, 2, 3, 6, 7, 8}
Now, we can find A ∪ (B ∪ C):
A ∪ (B ∪ C) = {2, 4, 5} ∪ {1, 2, 3, 6, 7, 8}
Combining the two sets, we have A ∪ (B ∪ C) = {1, 2, 3, 4, 5, 6, 7, 8}
Therefore, A ∪ (B ∪ C) = {1, 2, 3, 4, 5, 6, 7, 8}.