Select a Counterexample for the Given Invalid Argument

question 195

Multiple Choice

select a counterexample for the given invalid argument.
-1. (∃x) Sx
2) (∀x) [Sx ⊃ (Tx ⊃ ∼Ux) ]
3) Ua • Ub
4) (∃x) ∼Ux / (∃x) (Sx • ∼Tx)

• A) Counterexample in a domain of 3 members, in which:
• Sa: True Ta: False Ua: True
• Sb: False Tb: False Ub: True
• Sc: True Tc: True Uc: False
• B) Counterexample in a domain of 3 members, in which:
• Sa: False Ta: False Ua: True
• Sb: True Tb: True Ub: False
• Sc: True Tc: True Uc: False
• C) Counterexample in a domain of 3 members, in which:
• Sa: True Ta: False Ua: True
• Sb: True Tb: True Ub: True
• Sc: True Tc: True Uc: False
• D) Counterexample in a domain of 3 members, in which:
• Sa: False Ta: False Ua: False
• Sb: False Tb: True Ub: False
• Sc: True Tc: True Uc: False
• E) Counterexample in a domain of 3 members, in which:
• Sa: False Ta: False Ua: True
• Sb: False Tb: True Ub: True
• Sc: True Tc: True Uc: False

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Definitions:

Animal's Ability

Refers to the innate or learned capacities of animals to perform actions or solve problems relevant to their survival and reproduction.

Hydra

A genus of small, fresh-water organisms from the phylum Cnidaria, known for their regenerative ability.

Nerve Net

The network of neurons found in cnidarians and ctenophores.

Electrical Signals

Pulses of electric charge that are used for communication within and between nerve cells and muscles in organisms.