for the sets {1,3,5,7,9} and {1,2,3,4,5} Define the �¿ and the U.
To define the intersection (∩) and the union (∪) of the sets {1, 3, 5, 7, 9} and {1, 2, 3, 4, 5}, we need to understand what each operation means.
1. Intersection (∩): The intersection of two sets includes only the elements that are common to both sets. In other words, it gives the set of elements that are present in both sets.
2. Union (∪): The union of two sets combines all the unique elements from both sets, without repetition. It forms a new set that contains all the elements from both sets.
Now, let's find the intersection and the union of the given sets step by step:
1. Intersection (∩):
To find the intersection, we look for the elements that are common to both sets: {1, 3, 5}.
So, the intersection of {1, 3, 5, 7, 9} and {1, 2, 3, 4, 5} is {1, 3, 5}.
2. Union (∪):
To find the union, we combine all the unique elements from both sets: {1, 2, 3, 4, 5, 7, 9}.
So, the union of {1, 3, 5, 7, 9} and {1, 2, 3, 4, 5} is {1, 2, 3, 4, 5, 7, 9}.
In summary:
Intersection (∩) = {1, 3, 5}
Union (∪) = {1, 2, 3, 4, 5, 7, 9}