Use Indirect Truth Tables to Determine, for Each Given Set

question 207

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.)
-X ≡ Y
Y ≡ ∼Z
Z ≡ ∼X

• A) Inconsistent
• B) Consistent. Consistent valuation when X, Y, and Z are true
• C) Consistent. Consistent valuation when X and Y are true and Z is false
• D) Consistent. Consistent valuation when X and Z are true and Y is false
• E) Consistent. Consistent valuation when Y and Z are true and X is false

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Definitions:

Ending Inventory

The total value of a company's merchandise, raw materials, and finished and unfinished products which have not yet been sold at the end of an accounting period.

Purchases

The act of buying goods and services, typically for the purpose of resale in the ordinary course of business.

Consignee

A person or company to whom goods are shipped for sale, who receives and sells the goods on behalf of the consignor.

Consignor

The consignor is the party that owns goods or merchandise and entrusts them to another party, known as the consignee, for the purpose of sale.