Construct a Truth Table for the Statement $(p \wedge \sim s) \wedge t$

question 257

Multiple Choice

Construct a truth table for the statement.
- $(p \wedge \sim s) \wedge t$

• A)
• \(\begin{array}{cccc}
• \mathrm{p} & \mathrm{s} & \mathrm{t} & (\mathrm{p} \wedge \sim \mathrm{s}) \wedge \mathrm{t} \\
• \hline \mathrm{T} & \mathrm{T} & \mathrm{T} & \mathrm{F} \\
• \mathrm{T} & \mathrm{T} & \mathrm{F} & \mathrm{F} \\
• \mathrm{T} & \mathrm{F} & \mathrm{T} & \mathrm{F} \\
• \mathrm{T} & \mathrm{F} & \mathrm{F} & \mathrm{F} \\
• \mathrm{F} & \mathrm{T} & \mathrm{T} & \mathrm{F} \\
• \mathrm{F} & \mathrm{T} & \mathrm{F} & \mathrm{T} \\
• \mathrm{F} & \mathrm{F} & \mathrm{T} & \mathrm{T} \\
• \mathrm{F} & \mathrm{F} & \mathrm{F} & \mathrm{T}
• \end{array}\)
• B)
• \(\begin{array}{cccc}
• \mathrm{p} & \mathrm{s} & \mathrm{t} & (\mathrm{p} \wedge \sim \mathrm{s}) \wedge \mathrm{t} \\
• \hline \mathrm{T} & \mathrm{T} & \mathrm{T} & \mathrm{F} \\
• \mathrm{T} & \mathrm{T} & \mathrm{F} & \mathrm{F} \\
• \mathrm{T} & \mathrm{F} & \mathrm{T} & \mathrm{T} \\
• \mathrm{T} & \mathrm{F} & \mathrm{F} & \mathrm{F} \\
• \mathrm{F} & \mathrm{T} & \mathrm{T} & \mathrm{F} \\
• \mathrm{F} & \mathrm{T} & \mathrm{F} & \mathrm{F} \\
• \mathrm{F} & \mathrm{F} & \mathrm{T} & \mathrm{F} \\
• \mathrm{F} & \mathrm{F} & \mathrm{F} & \mathrm{F}
• \end{array}\)

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Definitions:

Derived Demand

The demand for a good or service resulting from the demand for another good or service, as seen in the demand for raw materials driven by the production of final goods.

Substitutes

Products or services that can satisfy the same need or desire, where an increase in the price of one leads to an increase in demand for the other.

Complements

Goods and services that are used together, where the consumption of one enhances the use or value of the other.

Demand

Demand refers to consumers' desire and willingness to purchase a good or service at a specific price level.