List all the elements of each of the sets given below.
B = {x : x = 2n + 1, n ϵ W and n ≤ 5}.
Given: x = 2n + 1 and n ≤ 5
⇒ n = 0, 1, 2, 3, 4 and 5 [∵ n ∈ W]
Given x = 2n + 1
n = 0, x = 2 × 0 + 1 = 1
n = 1, x = 2 × 1 + 1 = 3
n = 2, x = 2 × 2 + 1 = 5
n = 3, x = 2 × 3 + 1 = 7
n = 4, x = 2 × 4 + 1 = 9
n = 5, x = 2 × 5 + 1 = 11
So, the elements of B are 1, 3, 5, 7, 9 and 11
∴, B = {1, 3, 5, 7, 9, 11}