Solve the following linear inequations in R

Given

⇒ 2(4 + 2x) ≥ 3(x – 6)

⇒ 8 + 4x ≥ 3x – 18

⇒ 8 + 4x – 8 ≥ 3x – 18 – 8

⇒ 4x ≥ 3x – 26

⇒ 4x – 3x ≥ 3x – 26 – 3x

∴ x ≥ –26

Thus, the solution of the given inequation is [–26, ∞).