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Construct a Truth Table for the Statement rp\sim \mathrm{r} \wedge \sim \mathrm{p}

Question 309

Multiple Choice

Construct a truth table for the statement.
- rp\sim \mathrm{r} \wedge \sim \mathrm{p}


A)
rp(rp) TTFTFFFTFFFT\begin{array}{ccc}\mathrm{r} & \mathrm{p} & (\sim \mathrm{r} \wedge \sim \mathrm{p}) \\\hline \mathrm{T} & \mathrm{T} & \mathrm{F} \\\mathrm{T} & \mathrm{F} & \mathrm{F} \\\mathrm{F} & \mathrm{T} & \mathrm{F} \\\mathrm{F} & \mathrm{F} & \mathrm{T}\end{array}
B)
rp(rp) TTTTFFFTFFFT\begin{array}{ccc}\mathrm{r} & \mathrm{p} & (\sim \mathrm{r} \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)
rp(rp) TTFTFFFTFFFF\begin{array}{ccc}\mathrm{r} & \mathrm{p} & (\sim \mathrm{r} \wedge \sim \mathrm{p}) \\\hline \mathrm{T} & \mathrm{T} & \mathrm{F} \\\mathrm{T} & \mathrm{F} & \mathrm{F} \\\mathrm{F} & \mathrm{T} & \mathrm{F} \\\mathrm{F} & \mathrm{F} & \mathrm{F}\end{array}
D)
rp(rp) TTFTFTFTTFFT\begin{array}{ccc}\mathrm{r} & \mathrm{p} & (\sim \mathrm{r} \wedge \sim \mathrm{p}) \\\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}



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