Solve the following linear inequations in R

Given

⇒ 2(5 – 2x) < x – 30

⇒ 10 – 4x < x – 30

⇒ 10 – 4x – 10 < x – 30 – 10

⇒ –4x < x – 40

⇒ x – 40 > –4x

⇒ x – 40 + 40 > –4x + 40

⇒ x > –4x + 40

⇒ x + 4x > –4x + 40 + 4x

⇒ 5x > 40

∴ x > 8

Thus, the solution of the given inequation is (8, ∞).