A: To find the intersection of the sets A and B, we need to find the elements that are common to both sets.
A = {x ∈ ℕ : 2 ≤ x < 19}
B = {x ∈ ℕ : x is even}
The intersection of the sets A and B is {x ∈ ℕ : 2 ≤ x < 19, x is even}
∩ = {4,6,8,10,12,14,16,18}
B: To find the difference of the sets A and B, we need to find the elements that are in set A but not in set B.
A = {x ∈ ℕ : 2 ≤ x < 19}
B = {x ∈ ℕ : x is even}
The difference of the sets A and B is {x ∈ ℕ : 2 ≤ x < 19, x is not even}
∖ = {3,5,7,9,11,13,15,17}
So the solution for A is ∩={4,6,8,10,12,14,16,18} and for B is ∖={3,5,7,9,11,13,15,17}