Perform the given set operation. Let
U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}.
{1, 2, 3, 4, 5} ∩ {2, 3, 4, 5, 6}
well, which elements are in both of the two small sets?
{2,3,4,5}--Thanks again Steve
To perform the given set operation, we need to find the intersection of the two sets.
Step 1: Write down the sets.
U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
A = {1, 2, 3, 4, 5}
B = {2, 3, 4, 5, 6}
Step 2: Identify the common elements between the two sets.
The common elements between A and B are {2, 3, 4, 5}.
Step 3: Write down the intersection of the two sets.
A ∩ B = {2, 3, 4, 5}
Therefore, the intersection of sets A and B is {2, 3, 4, 5}.
To perform the given set operation, we need to find the intersection (denoted by the symbol "∩") between the two sets: {1, 2, 3, 4, 5} and {2, 3, 4, 5, 6}.
The intersection of two sets is the set of elements that are common to both sets. In other words, we need to find the elements that appear in both sets.
To find the intersection, we can compare each element of the first set with the elements of the second set. If an element is present in both sets, it belongs to the intersection set.
Let's go step by step:
1. First, let's write down the given sets:
Set A = {1, 2, 3, 4, 5}
Set B = {2, 3, 4, 5, 6}
2. Now, compare each element of set A with the elements of set B:
- 1 is not present in set B.
- 2 is present in both sets.
- 3 is present in both sets.
- 4 is present in both sets.
- 5 is present in both sets.
3. Finally, write down the intersection set, which contains the common elements:
Set A ∩ Set B = {2, 3, 4, 5}
Therefore, the intersection of the given sets {1, 2, 3, 4, 5} and {2, 3, 4, 5, 6} is {2, 3, 4, 5}.