If x ∈ N, find the solution set of inequations.

(i) 5x + 3 ≤ 2x + 18

(ii) 3x - 2 < 19 - 4x

(i) 5x + 3 ≤ 2x + 18

⇒ 5x - 2x ≤ 18 - 3

⇒ 3x ≤ 15

Dividing both sides by 3

⇒ x ≤ 5

Since, x ∈ N

∴ Solution set = {1, 2, 3, 4, 5}.

(ii) 3x - 2 < 19 - 4x

⇒ 3x + 4x < 19 + 2

⇒ 7x < 21

Dividing both sides by 7 we get,

⇒ x < 3

Since, x ∈ N

∴ Solution set = {1, 2}.