List all the elements of each of the set given below. A = {x : x = 2n, n ε N and n ≤ 5}.

Given: x = 2n and n ≤ 5
⇒ n = 1, 2, 3, 4 and 5 [∵ n ∈ N]
Given x = 2n

n = 1, x = 2 × 1 = 2
n = 2, x = 2 × 2 = 4
n = 3, x = 2 × 3 = 6
n = 4, x = 2 × 4 = 8
n = 5, x = 2 × 5 = 10
So, the elements of A are 2, 4, 6, 8 and 10
∴, A = {2, 4, 6, 8, 10}