Construct a Complete Truth Table for Each of the Following $\lor$

question 117

Multiple Choice

Construct a complete truth table for each of the following arguments. Then, using the truth table, determine whether the argument is valid or invalid. If the argument is invalid, choose an option which presents a counterexample. (There may be other counterexamples as well.)
-X / X $\lor$ [Y ≡ (Z • ∼X) ]

• A) Valid
• B) Invalid. Counterexample when X, Y, and Z are true
• C) Invalid. Counterexample when X and Y are true and Z is false
• D) Invalid. Counterexample when Z is true and Z and Y are false
• E) Invalid. Counterexample when X, Y, and Z are false

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Definitions:

OLTP

Online Transaction Processing, a class of systems that facilitates and manages transaction-oriented applications, typically for data entry and retrieval transaction processing.

Historical Data

Data concerning past events and transactions that are stored and analyzed for trends, forecasting, and making decisions.

Explicit Knowledge

Knowledge that is easily communicated and shared, typically in the form of documents, manuals, or any documented procedure.

Organization's Culture

The shared values, beliefs, attitudes, and practices that characterize an organization, influencing its people and how work is conducted.