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 - 6x > 12

⇒ - 33 + 33 - 6x > 12 - 333

⇒ - 6x < - 21 

⇒ `(-6x)/(-6)< (-21)/-6`

⇒ n <`21/6`

⇒ n < 3.5

But x ∈ W, x = 0, 1, 2, 3

∴ Solution set = {0, 1, 2, 3}