Solve the following linear inequations in R

Given

⇒ 14x – 14 ≤ 30 + 15x

⇒ 14x – 14 + 14 ≤ 30 + 15x + 14

⇒ 14x ≤ 44 + 15x

⇒ 14x – 44 ≤ 44 + 15x – 44

⇒ 14x – 44 ≤ 15x

⇒ 15x ≥ 14x – 44

⇒ 15x – 14x ≥ 14x – 44 – 14x

∴ x ≥ –44

Thus, the solution of the given inequation is [–44, ∞).