Solve the inequation 5(x – 2) > 4 (x + 3) – 24 and represent its solution on a number line.
Given the replacement set is {-4, -3, -2, -1, 0, 1, 2, 3, 4}.
5(x -2) > 4 (x + 3) – 24
⇒ 5x – 10 > 4x + 12 – 24
⇒ 5x – 4x > 10 – 12
⇒ x > -2
Since replacement set = {-4, -3, -2, -1, 0, 1, 2, 3, 4}
∴ Solution set = {-1, 0, 1, 2, 3, 4}
∴ Solution set on a number line is shown below.