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:

Average Total Cost

The aggregate expense of manufacturing (sum of constant and variable expenses) spread over the total units produced.

Marginal Cost

The upsurge in full costs resulting from the fabrication of an additional unit of a product or service.

Marginal-Cost Curve

A graphical representation showing how the cost to produce one additional unit of a good or service changes as production volume changes.

Average-Total-Cost Curve

A curve showing the average total cost of producing different levels of output in the short run.