When the base of a logarithm is between 0 and 1 (as is 0.5), the inequality sign flips when comparing the arguments. So, log₀.₅ (x - 3) 5. This leads to x > 8. Also, for the logarithm to be defined, x - 3 > 0 (x > 3), which is already satisfied by x > 8. Therefore, the solution is x > 8.