
Let A = {x: x is a prime number less than 10} and B = {x: x , x is a factor of 12}. Find .
Answer
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Hint:The union of two sets A and B is the set of elements which are in A, in B, or in both A and B. Union The union of two sets A and B, written , is the combination of the two sets.
Complete step-by-step answer:
The symbol used for the union of two sets is .
Therefore, symbolically, we write union of the two sets A and B is which means A union B.
Therefore,
The given sets are
A = {x: x is a prime number less than 10} = {2, 3, 5, 7}
B = {x: x , x is a factor of 12} = {1, 2, 3, 4, 6, 12}
The union of two sets A and B is the set of elements which are in A, in B, or in both A and B.
Taking every element of both the sets B and C, without repeating any element, we get
Note: You might get confused about the difference between Roster and Set builder form. In roster form, all the elements of a set are listed, the elements are being separated by commas and are enclosed within braces { }. In the set builder form, all the elements of the set must possess a single property to become the member of that set.
Complete step-by-step answer:
The symbol used for the union of two sets is
Therefore, symbolically, we write union of the two sets A and B is
Therefore,
The given sets are
A = {x: x is a prime number less than 10} = {2, 3, 5, 7}
B = {x: x
The union of two sets A and B is the set of elements which are in A, in B, or in both A and B.
Taking every element of both the sets B and C, without repeating any element, we get
Note: You might get confused about the difference between Roster and Set builder form. In roster form, all the elements of a set are listed, the elements are being separated by commas and are enclosed within braces { }. In the set builder form, all the elements of the set must possess a single property to become the member of that set.
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