Question

List the elements of the solution set of the inequation –3 < x – 2 ≤ 9 – 2x; x ∈ N.

Answer 1

–3 < x – 2 ≤ 9 – 2x

–3 < x – 2 and x – 2 ≤ 9 – 2x

–1 < x and 3x ≤ 11

`-1 < x ≤ 11/3`

Since, x ∈ N

∴ Solution set = {1, 2, 3}