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

Question

Philoid · Accepted Answer

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}