Construct a Truth Table for the Statement $p \rightarrow \sim\ q$

question 214

Multiple Choice

Construct a truth table for the statement.
- $p \rightarrow \sim\ q$

• A)
• \(\begin{array}{ccc}
• \mathrm{p} & \mathrm{q} & \mathrm{p} \rightarrow \mathrm{q} \\
• \hline \mathrm{T} & \mathrm{T} & \mathrm{T} \\
• \mathrm{T} & \mathrm{F} & \mathrm{F} \\
• \mathrm{F} & \mathrm{T} & \mathrm{T} \\
• \mathrm{F} & \mathrm{F} & \mathrm{T}
• \end{array}\)
• B)
• \(\begin{array}{ccc}
• \mathrm{p} & \mathrm{q} & \mathrm{p} \rightarrow \sim \mathrm{q} \\
• \hline \mathrm{T} & \mathrm{T} & \mathrm{T} \\
• \mathrm{T} & \mathrm{F} & \mathrm{T} \\
• \mathrm{F} & \mathrm{T} & \mathrm{F} \\
• \mathrm{F} & \mathrm{F} & \mathrm{F}
• \end{array}\)
• C)
• \(\begin{array}{ccc}
• \mathrm{p} & \mathrm{q} & \mathrm{p} \rightarrow \sim \mathrm{q} \\
• \hline \mathrm{T} & \mathrm{T} & \mathrm{F} \\
• \mathrm{T} & \mathrm{F} & \mathrm{T} \\
• \mathrm{F} & \mathrm{T} & \mathrm{T} \\
• \mathrm{F} & \mathrm{F} & \mathrm{T}
• \end{array}\)
• D)
• \(\begin{array}{ccc}
• \mathrm{p} & \mathrm{q} & \mathrm{p} \rightarrow \sim \mathrm{q} \\
• \hline \mathrm{T} & \mathrm{T} & \mathrm{F} \\
• \mathrm{T} & \mathrm{F} & \mathrm{F} \\
• \mathrm{F} & \mathrm{T} & \mathrm{T} \\
• \mathrm{F} & \mathrm{F} & \mathrm{T}
• \end{array}\)

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Definitions:

Defaults

Situations where a party fails to fulfill their obligations as specified in a contract or agreement.

Construction Lien

A claim made against a property by a contractor or subcontractor who has not been paid for work performed or materials supplied.

Building Contract

A legally binding agreement between a property owner and a contractor for the construction or renovation of a building, detailing the work to be done, materials, costs, and timeframes.

Hold Back

The act of withholding part of a payment or benefit until certain conditions are met or to exert control or influence over a situation.