Question 972657: I have a question over unions and intersections of sets. My question is A={1,2,3,4,5,6,7,8,9} and B={2,4,6,8} what is A U B? This would be mighty awesome if you can help me. Thanks
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! A union B are the set of elements that are either in A or in B or in both.
A = {1,2,3,4,5,6,7,8,9}
B = {2,4,6,8}
A union B would be {1,2,3,4,5,6,7,8,9}
These are the elements that are either in A or in B or in both.
Actually, all of the elements in B are also in A.
That makes B a subset of A because all of the elements in B are also in A.
A intersect B are the set of elements that are in both A and B.
A intersect B is therefore equal to {2,4,6,8}
Those are the elements that are in both A and in B.
So, what you have here is:
A union B = A = {1,2,3,4,5,6,7,8,9}
A intersect B = {2,4,6,8}
B is a subset of A.
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