The graph of the inequality is attached
The solution set, in interval notation, is (-∞, 3) U (4, ∞)
How to solve the compound inequality
The given data
6x - 3 < x + 12 or 5x - 6 > 3x + 2
solve each inequality separately
Case 1: 6x - 3 < x + 12
5x < 15
x < 3
Case 2: 5x - 6 > 3x + 2
2x > 8
x > 4
combine the solutions with "or":
x < 3 or x > 4
The solution set, in interval notation, is (-∞, 3) (4, ∞)