The set of, S - T = {3, 9}
Define Set Operation.
To obtain a combination of components according to the operation done on them, the set operations are conducted on two or more sets.
In a set theory, there are three major types of operations performed on sets, such as:
1) Union of sets (∪)
2) Intersection of sets (∩)
3) Difference of sets ( – )
We know, S -T = S ∩ T'
Given, universal set is U = {1, 2, 3, ..., 10}
S = {3, 5, 7, 9} and T = {4, 5, 6, 7}
Now, find T' (T's compliment),
The complement of set T is defined as a set that contains the elements present in the universal set but not in set T.
T' = {1, 2, 3, 8, 9, 10}
given, S = {3, 5, 7, 9}
Find, S ∩ T'
S ∩ T' = {3, 5, 7, 9} ∩ {1, 2, 3, 8, 9, 10}
The intersection of two sets S and T is a subset of the universal set U and contains elements that are present in both sets S and T. It is represented by the symbol "∩".
so, S ∩ T' = {3, 9}
Hence, S - T = S ∩ T' = {3, 9}
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