Given

⇒ 5(x – 1) < 3(x – 35)

⇒ 5x – 5 < 3x – 105

⇒ 5x – 5 + 5 < 3x – 105 + 5

⇒ 5x < 3x – 100

⇒ 5x – 3x < 3x – 100 – 3x

⇒ 2x < –100

∴ x < –50

Thus, the solution of the given inequation is (–∞, –50).