Construct a truth table for the statement.
-$\sim \mathrm { r } \wedge \sim \mathrm { q }$
A)
$\begin{array}{ccc}
\mathrm{r} & \mathrm{q}(\sim \mathrm{r} \wedge \sim \mathrm{q}) \
\hline \mathrm{T} & \mathrm{T} & \mathrm{F} \
\mathrm{T} & \mathrm{F} & \mathrm{T} \
\mathrm{F} & \mathrm{T} & \mathrm{T} \
\mathrm{F} & \mathrm{F} & \mathrm{T}
\end{array}$
B)
$\begin{array}{ccc}
\mathrm{r} & \mathrm{q}(\sim \mathrm{r} \wedge \sim \mathrm{q}) \
\hline \mathrm{T} & \mathrm{T} & \mathrm{F} \
\mathrm{T} & \mathrm{F} & \mathrm{F} \
\mathrm{F} & \mathrm{T} & \mathrm{F} \
\mathrm{F} & \mathrm{F} & \mathrm{F}
\end{array}$
C)
$\begin{array}{ccc}
\mathrm{r} & \mathrm{q} & (\sim \mathrm{r} \wedge \sim \mathrm{q}) \
\hline \mathrm{T} & \mathrm{T} & \mathrm{F} \
\mathrm{T} & \mathrm{F} & \mathrm{F} \
\mathrm{F} & \mathrm{T} & \mathrm{F} \
\mathrm{F} & \mathrm{F} & \mathrm{T}
\end{array}$
D)
$\begin{array}{ccc}
\mathrm{r} & \mathrm{q} & (\sim \mathrm{r} \wedge \sim \mathrm{q}) \
\hline \mathrm{T} & \mathrm{T} & \mathrm{T} \
\mathrm{T} & \mathrm{F} & \mathrm{F} \
\mathrm{F} & \mathrm{T} & \mathrm{F} \
\mathrm{F} & \mathrm{F} & \mathrm{T}
\end{array}$

Question

Construct a truth table for the statement.
-$\sim \mathrm { r } \wedge \sim \mathrm { q }$
A) 
$\begin{array}{ccc}
\mathrm{r} & \mathrm{q}(\sim \mathrm{r} \wedge \sim \mathrm{q}) \
\hline \mathrm{T} & \mathrm{T} & \mathrm{F} \
\mathrm{T} & \mathrm{F} & \mathrm{T} \
\mathrm{F} & \mathrm{T} & \mathrm{T} \
\mathrm{F} & \mathrm{F} & \mathrm{T}
\end{array}$
B)
 $\begin{array}{ccc}
\mathrm{r} & \mathrm{q}(\sim \mathrm{r} \wedge \sim \mathrm{q}) \
\hline \mathrm{T} & \mathrm{T} & \mathrm{F} \
\mathrm{T} & \mathrm{F} & \mathrm{F} \
\mathrm{F} & \mathrm{T} & \mathrm{F} \
\mathrm{F} & \mathrm{F} & \mathrm{F}
\end{array}$
C)
 $\begin{array}{ccc}
\mathrm{r} & \mathrm{q} & (\sim \mathrm{r} \wedge \sim \mathrm{q}) \
\hline \mathrm{T} & \mathrm{T} & \mathrm{F} \
\mathrm{T} & \mathrm{F} & \mathrm{F} \
\mathrm{F} & \mathrm{T} & \mathrm{F} \
\mathrm{F} & \mathrm{F} & \mathrm{T}
\end{array}$
D)
$\begin{array}{ccc}
\mathrm{r} & \mathrm{q} & (\sim \mathrm{r} \wedge \sim \mathrm{q}) \
\hline \mathrm{T} & \mathrm{T} & \mathrm{T} \
\mathrm{T} & \mathrm{F} & \mathrm{F} \
\mathrm{F} & \mathrm{T} & \mathrm{F} \
\mathrm{F} & \mathrm{F} & \mathrm{T}
\end{array}$

Quizplus · Accepted Answer

The correct truth table for $\sim r \wedge \sim q$ shows that the statement is true only when both $r$ and $q$ are false, as indicated by the combination of negations ($\sim$) and the conjunction ($\wedge$).

Construct a Truth Table for the Statement ∼r∧∼q\sim \mathrm { r } \wedge \sim \mathrm { q }∼r∧∼q

Construct a Truth Table for the Statement $\sim \mathrm { r } \wedge \sim \mathrm { q }$