Given x ∈ {whole numbers}, find the solution set of :

-1 ≤ 3 + 4x < 23

Given,

-1 ≤ 3 + 4x < 23

Solving L.H.S. of the equation,

⇒ -1 ≤ 3 + 4x

⇒ 4x ≥ -1 - 3

⇒ 4x ≥ -4

⇒ x ≥ -1 ……..(i)

Solving R.H.S. of the equation,

⇒ 3 + 4x < 23

⇒ 4x < 23 - 3

⇒ 4x < 20

⇒ x < 5 ………(ii)

From (i) and (ii) we get,

-1 ≤ x < 5

Since, x ∈ {whole numbers},

∴ Solution set = {0, 1, 2, 3, 4}.