Solve the inequality

Given inequality

⇒

Multiplying the inequality by 5.

⇒ -75 < 3(x – 2) ≤ 0

Dividing the inequality by 3 we get

⇒ -25 < x – 2 ≤ 0

⇒ – 25 + 2 < x – 2 + 2 ≤ 0 + 2

⇒ – 23 < x ≤ 2

∴ all real numbers x greater than -23 but less than or equal to 2 are solution of given equality.

x ∈ (-23, 2]