Let S be the universal set, where: S={1,2,3,...,18,19,20}
Let sets A and B be subsets of S, where:
Set A={2,3,5,7,10,11,12,14,16,17,18,19,20}
Set B={1,5,8,10,11,12,16,17,19,20}
LIST the elements in the set (A∪B):
LIST the elements in the set (A∩B) = {
Mississippi
To find the elements in the set A∪B (the union of sets A and B), we need to combine all the elements from both sets.
Set A contains the elements: {2, 3, 5, 7, 10, 11, 12, 14, 16, 17, 18, 19, 20}
Set B contains the elements: {1, 5, 8, 10, 11, 12, 16, 17, 19, 20}
To find A∪B, we need to combine these elements, ensuring we eliminate any duplicate elements.
Listing the elements in the set (A∪B) gives us:
{1, 2, 3, 5, 7, 8, 10, 11, 12, 14, 16, 17, 18, 19, 20}
Now, let's move on to finding the elements in the set A∩B (the intersection of sets A and B).
To find A∩B, we need to identify the elements that occur in both sets A and B.
Looking at the elements in sets A and B, we can see that they have the following elements in common: {5, 10, 11, 12, 16, 17, 19, 20}
Listing the elements in the set (A∩B) gives us:
{5, 10, 11, 12, 16, 17, 19, 20}
To find the union of Set A and Set B (A∪B), we combine all the elements from both sets without repeating any elements.
Set A: {2, 3, 5, 7, 10, 11, 12, 14, 16, 17, 18, 19, 20}
Set B: {1, 5, 8, 10, 11, 12, 16, 17, 19, 20}
Combining the elements from both sets without repeating any elements, we get the set (A∪B):
(A∪B) = {1, 2, 3, 5, 7, 8, 10, 11, 12, 14, 16, 17, 18, 19, 20}
Now, let's find the intersection of Set A and Set B (A∩B). This is the set that contains all the elements that are common to both sets.
Set A: {2, 3, 5, 7, 10, 11, 12, 14, 16, 17, 18, 19, 20}
Set B: {1, 5, 8, 10, 11, 12, 16, 17, 19, 20}
The common elements between Set A and Set B are:
(A∩B) = {5, 10, 11, 12, 16, 17, 19, 20}