The intersection between the two given sets is:
A∩B = {x ∈ ℕ: 6 ≤ x ≤ 8}
How to find the intersection between the two sets?
Remember that the intersection between two sets is the set that contains all the common elements between the two sets.
Here we have:
- A = {x ∈ ℕ: 6 ≤ x ≤ 13}
- B = {x ∈ ℕ: 2 ≤ x ≤ 8}
- U = {x ∈ ℕ: 1 ≤ x ≤ 20}
If we write the elements of A, we get:
A = {6, 7, 8, 9, 10, 11, 12, 13}
If we write the elements of B, we get:
B = {2, 3, 4, 5, 6, 7, 8}
We can see that the common elements are 6, 7, and 8, then we can write the intersection between the two sets as:
A∩B = {6, 7, 8}
Using the set builder notation:
A∩B = {x ∈ ℕ: 6 ≤ x ≤ 8}
If you want to learn more about sets:
https://brainly.com/question/2166579
#SPJ1
