Final answer:
Cash received before a service is performed does not create a liability.
Step-by-step explanation:
The statement that is not true about liabilities is D. Cash received before a service is performed creates a liability.
Liabilities are debts owed to outsiders (option A), accounts title of liabilities often include the term "payable" (option B), and liabilities include accumulated depreciation (option C). However, cash received before a service is performed does not create a liability. It is recorded as a liability only after the service is performed.