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

question 198

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.)
-E $\lor$ ∼F
E ⊃ ∼E
F / E

• A) Valid
• B) Invalid. Counterexample when E and F are true
• C) Invalid. Counterexample when E is true and F is false
• D) Invalid. Counterexample when E is false and F is true
• E) Invalid. Counterexample when E and F are false

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Definitions:

AA

stands for Alcoholics Anonymous, a global fellowship of individuals who share their experience, strength, and hope to solve their common problem and help others recover from alcoholism.

Alcohol Abuse

The excessive consumption of alcohol leading to health problems, social issues, and compromised safety.

Female Alcoholism

Alcohol use disorder as it specifically applies to females, which may involve patterns of drinking that are harmful, including excessive consumption and dependence.

College Binge Drinking

Excessive alcohol consumption by college students in a short period of time, often leading to significant health and behavioral issues.