Use Indirect Truth Tables to Determine, for Each Given Set $\lor$

question 213

Multiple Choice

use indirect truth tables to determine, for each given set of propositions, whether it is consistent. If the set is consistent, choose an option with a consistent valuation. (There may be other consistent valuations.)
-A $\lor$ B
(C • D) ≡ (E • F)
F ⊃ ∼A
D ⊃ B

• A) Inconsistent
• B) Consistent. Consistent valuation when A, C, and E are true and B, D, and F are false
• C) Consistent. Consistent valuation when A, D, and E are true and B, C, and F are false
• D) Consistent. Consistent valuation when B, C, and F are true and A, D, and E are false
• E) Consistent. Consistent valuation when B, D, and E are true and A, C, and F are false

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Definitions:

Urban Populations

The demographic groups residing within cities or densely populated areas characterized by high human settlement and infrastructure development.

Short-Term Illnesses

Health conditions characterized by a brief duration, typically resolving within three months or less.

Frailty

A state of increased vulnerability due to aging or illness, leading to a higher risk of falls, sudden health declines, and increased dependency.

Morbidity

The condition of being diseased or unhealthy within a population, often used to describe the incidence or prevalence of a disease.