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

question 36

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.)
-F • (A ⊃ D)
E $\lor$ ∼B
∼[C ⊃ (D $\lor$ F) ]
A $\lor$ (B • D)
E ⊃ A

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

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Definitions:

Cost of Goods Sold

The direct costs attributable to the production of the goods sold by a company, including the cost of the materials and labor directly used to create the product.

Cost of Goods Manufactured

The total cost of all materials, labor, and overhead used to produce goods during a specific period.

Cost of Goods Purchased

The total expense incurred by a company to buy the goods it has sold or will sell, excluding any indirect costs.

Finished Goods Inventory

The value of a company's inventory of products that are complete and ready for sale.