- 15 × 5 <

3(x−2)

5

× 5 ≤ 0 × 5 [Multiplying by 5]
⇒ –75 < 3(x – 2) ≤ 0
⇒

−75

3

< x - 2 ≤

0

3

[Dividing each side by 3]
⇒ –25 < x – 2 ≤ 0
or –25 + 2 < x – 2 + 2 ≤ 0 + 2 [Adding 2]
⇒ –23 < x ≤ 2
Hence, x is less than or equal to 2 and greater than –23, i.e., x ∈ (–23, 2]