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

question 147

Multiple Choice

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

• A)
• \(\begin{array}{ccc}
• \mathrm{p} & \mathrm{t} & (\mathrm{p} \wedge \mathrm{t}) \vee(\sim \mathrm{p} \wedge \sim \mathrm{t}) \\
• \hline \mathrm{T} & \mathrm{T} & \mathrm{T} \\
• \mathrm{T} & \mathrm{F} & \mathrm{F} \\
• \mathrm{F} & \mathrm{T} & \mathrm{F} \\
• \mathrm{F} & \mathrm{F} & \mathrm{T}
• \end{array}\)
• B)
• \(\begin{array}{llc}
• \mathrm{p} & \mathrm{t} & (\mathrm{p} \wedge \mathrm{t}) \vee(\sim \mathrm{p} \wedge \sim \mathrm{t}) \\
• \hline \mathrm{T} & \mathrm{F} & \mathrm{F} \\
• \mathrm{F} & \mathrm{T} & \mathrm{F}
• \end{array}\)
• C)
• \(\begin{array}{ccc}
• \mathrm{p} & \mathrm{t} & (\mathrm{p} \wedge \mathrm{t}) \vee(\sim \mathrm{p} \wedge \sim \mathrm{t}) \\
• \hline \mathrm{T} & \mathrm{T} & \mathrm{T} \\
• \mathrm{T} & \mathrm{F} & \mathrm{T} \\
• \mathrm{F} & \mathrm{T} & \mathrm{T} \\
• \mathrm{F} & \mathrm{F} & \mathrm{F}
• \end{array}\)
• D)
• \(\begin{array}{ccc}
• \mathrm{p} & \mathrm{t} & (\mathrm{p} \wedge \mathrm{t}) \vee(\sim \mathrm{p} \wedge \sim \mathrm{t}) \\
• \hline \mathrm{T} & \mathrm{T} & \mathrm{F} \\
• \mathrm{T} & \mathrm{F} & \mathrm{F} \\
• \mathrm{F} & \mathrm{T} & \mathrm{T} \\
• \mathrm{F} & \mathrm{F} & \mathrm{T}
• \end{array}\)

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