Question 864604: Let U = {1, 2, 3, 4, 5, 6, 7}, A = {1, 2, 3, 4}, B = {1, 2, 5, 6}, and C = {3, 5, 7}. List all the members of the given set. (Enter your answers as a comma-separated list.)
A ∪ (B ∩ C)
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! B ∩ C is the set of things that are in BOTH set B AND set C
Only the number 5 is in BOTH set B AND set C. So this means B ∩ C = {5}
A ∪ (B ∩ C) turns into A ∪ {5}
That turns into {1, 2, 3, 4} ∪ {5} after you replace A with what it is defined to be. Finally you combine the two sets to get this final answer {1, 2, 3, 4, 5}
This means, A ∪ (B ∩ C) = {1, 2, 3, 4, 5}
Note: we remove any duplicates. Since there are none, we don't have to worry about that for now.
|
|
|
