Consider the Following Domain, Assignment of Objects in the Domain $\lor$

question 243

Multiple Choice

consider the following domain, assignment of objects in the domain, and assignments sets to predicates.
Domain = {Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune, Pluto}
a = Mercury b = Jupiter c = Saturn d = Pluto
Mx = {Mercury, Mars}
Px = {Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune}
Cxy = {, , , , , , , , , ,
, , , , , , , , , , , , , , , , , , , , , , , , , }
-Given the customary truth tables, which of the following theories is modeled by the above interpretation?

• A) (∀x)(Px ⊃ Mx)
• ~(∃x)Px
• (∀x)(∀y)[(Px • Py) ⊃ Cxy]
• B) (∀x)(Mx ≡ Px)
• ~(∀x)Mx (∀x)[(∀y)Cxy ⊃ Py]
• C) (∀x)(Mx \( \lor \) Px)
• ~(∃x)Mx
• (∀x)[Px ⊃ ~(∀y)(Py ⊃ Cxy)]
• D) (∀x)(~Mx \( \lor \) Px)
• ~(∀x)(Px
• (∀x)[Px ⊃ (∀y)(Py ⊃ Cxy)]
• E) (∀x)(Mx ⊃ Px)
• ∼(∀x)Px
• (∀x)[∼Px ⊃ (∀y)(Py ⊃ Cyx)]

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Definitions:

Inelastic

A situation where the demand or supply of a good or service is not significantly affected by changes in price.

Fastest-growing

Describes entities, sectors, or economies that are increasing in size, value, or importance at a more rapid pace than others within the same category.

Occupations

Refers to various jobs or professions that individuals engage in to earn income and contribute to the economy.

Elasticity Coefficient

A numerical measure of the responsiveness of the quantity demanded or supplied of a good or service to a change in one of its determinants, such as price.