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

question 137

Multiple Choice

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

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

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