Solve x + 5 > 4x – 10, when x ϵ R.

x + 5 > 4x – 10

⇒ 5 + 10 > 4x – x

⇒ 15 > 3x

Divide by 3

⇒ 5 > x

⇒ x < 5

x < 5 means x is from -∞ to 5 that is x ∈ (-∞, 5)

Hence solution of x + 5 > 4x – 10 is x ∈ (-∞, 5)