Question

Solve: 15 – 2(2x – 1) < 15, x ∈ Z.

Answer 1

15 – 2(2x – 1) < 15, x ∈ Z.

⇒ 15 - 4x + 2 < 15

⇒ 17 - 4x < 15

⇒ - 4x < 15 - 17

⇒ - 4x < -2

⇒ `(-4)/(-4)"x" > (-2)/(-4) = 1/2`  (Dividing by -4)

∴ x = 1, 2, 3, 4, 5, .....

∴ Solution set = {1, 2, 3, 4, 5,...}