SOLUTION: How do I write this set? Given: A= {1,2,3,4,5} B={2,4,6} C= {1,3,5} AU(BUC) U= union

Question 448109: How do I write this set?
Given: A= {1,2,3,4,5} B={2,4,6} C= {1,3,5}
AU(BUC)
U= union
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
The U stands for Union. This is where you simply combine two sets and erase any duplicates.

So in this case, B U C = {2,4,6,1,3,5}. Basically I just threw everything from B and C into one set.

So A U (B U C) = {1, 2, 3, 4, 5, 6}

Notes: sets B and C are subsets of A (ie everything in B is also in A. Same can be said for C). So A U B = A and A U C = A. So we can think of A U (B U C) as

A U (B U C) = (A U B) U C = A U C = A
or
A U (B U C) = A U (C U B) = (A U C) U B = A U B = A

Either way we get set A as an answer.
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