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Mathematics
18 February, 12:43
Given A={1,3,4,6} and B={2,3,5,6}, what is A B
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Marcos Hernandez
18 February, 13:01
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A ∪ B = {1, 2, 3, 4, 5, 6}
A ∩ B = {3, 6}
A - B = {1, 4}
B - A = {2, 5}
Completing the statement and the question:
Like we don't see any logical operator between A and B, we will use the 3 most frequently used:
Union
Intersection
Difference
Step-by-step explanation:
1. Union of set A and set B
The union of sets A and B, denoted by A ∪ B, is the set defined as all the elements of A and all the elements of B. If there are common elements, we write them just once.
A ∪ B = {1, 2, 3, 4, 5, 6}
2. Intersection of set A and set B
The intersection of sets A and B, denoted by A ∩ B, is the set defined as all the elements that are common to A and B.
A ∩ B = {3, 6}
3. Difference
The difference of sets A and B, denoted by A - B, is the set of all elements of A that are not elements of B.
A - B = {1, 4}
We can also find B - A, that is the set of all elements of B that are not elements of A.
B - A = {2, 5}
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