Select a Counterexample for the Given Invalid Argument

question 166

Multiple Choice

select a counterexample for the given invalid argument.
-1. (∃x) (∼Ax ≡ Cx)
2) (∃x) (Ax • Cx)
3) (∀x) (Bx ⊃ Ax) / (∀x) (Cx ⊃ Bx)

• A) Counterexample in a domain of 2 members, in which: Aa: True Ba: False Ca: True
• Ab: True Bb: True Cb: False
• B) Counterexample in a domain of 2 members, in which: Aa: False Ba: False Ca: True
• Ab: True Bb: True Cb: False
• C) Counterexample in a domain of 2 members, in which: Aa: True Ba: True Ca: True
• Ab: True Bb: True Cb: False
• D) Counterexample in a domain of 2 members, in which: Aa: True Ba: False Ca: True
• Ab: False Bb: True Cb: False
• E) Counterexample in a domain of 2 members, in which: Aa: True Ba: False Ca: True
• Ab: True Bb: False Cb: True

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Definitions:

Collective Agreements

Contracts made between employers and a group of employees, often represented by a union, that establish terms of employment, working conditions, and wages.

Collective Bargaining

A negotiation process between employers and a group of employees aimed at establishing agreements regarding wages, working conditions, and other employment terms.

External Factor

Influences, trends, or variables originating outside of an organization that can affect its performance and decision-making.

Employer's Ability

An organization's capacity to meet its obligations, including paying salaries, providing benefits, and maintaining a safe work environment.