Question

List the elements of the following sets:

{x : 3x – 2 ≤ 10, x ∈ N}

Answer 1

{x : 3x – 2 ≤ 10, x ∈ N}

3x - 2 ≤ 10

⇒ 3x ≤ 10 + 2

⇒ 3x ≤ 12

⇒ x ≤ `12/3`

⇒ x ≤ 4

∴ Elements of the given set {x : 3x – 2 ≤ 10, x ∈ N} are 1, 2, 3 and 4