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

question 33

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.)
-S ⊃ (T $\lor$ U)
∼T
T $\lor$ S / U • S

• A) Valid
• B) Invalid. Counterexample when S and U are true and T is false
• C) Invalid. Counterexample when S is true and T and U are false
• D) Invalid. Counterexample when U is true and S and T are false
• E) Invalid. Counterexample when S, T, and U are false

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Definitions:

Major Violations

Serious breaches of rules or laws, which often result in significant penalties or consequences.

Likelihood Of Relapse

The probability or risk of returning to addictive behaviors or substance use after a period of abstinence or recovery.

Treatment

A medical, psychological, or surgical intervention designed to cure or alleviate symptoms of a disease or disorder.

Abstinence

The act of refraining from engaging in certain behaviors or consuming substances, such as alcohol or drugs.