Question 828728: Let U = {4, 5, 6, 7, 8, 9, 10}, A = {4, 5, 6, 7}, B = {4, 5, 8, 9}, and C = {6, 8, 10}. 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! A ∪ B is the set of the combination of sets A and B. You basically combine them together and toss the duplicates. So,
A ∪ B = {4, 5, 6, 7, 4, 5, 8, 9} ... combine the two sets
A ∪ B = {4, 5, 6, 7, 8, 9} ... but remember to toss the duplicates (tossed 4,5)
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Now we must look at what the two sets A ∪ B = {4, 5, 6, 7, 8, 9} and C = {6, 8, 10} have in common. The numbers 6,8 are the only two numbers in BOTH sets.
So this is why the final answer is {6,8}
(A ∪ B) ∩ C = {6,8}
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