Question

Solve the inequation 18 – 3 (2x – 5) > 12; x ∈ W.

Answer 1

18 – 3 (2x – 5) > 12; x ∈ W.

⇒ 18 - 6x + 15 > 12

⇒ 33 - 12 > 6x

⇒ 21 > 6x

⇒ 6x < 21 

⇒ x < `21/6 + 7/2 = 3 1/2`

But x ∈ W, x = 0, 1, 2, 3

∴ Solution set = {0, 1, 2, 3}