Construct a truth table for the statement.
-$r \vee \sim(c \wedge q)$
A)
$\begin{array}{cccc}
\mathrm{r} & \mathrm{c} & \mathrm{q} & \mathrm{r}_{\vee} \sim(\mathrm{c} \wedge \mathrm{q}) \
\hline \mathrm{T} & \mathrm{T} & \mathrm{T} & \mathrm{T} \
\mathrm{T} & \mathrm{T} & \mathrm{F} & \mathrm{T} \
\mathrm{T} & \mathrm{F} & \mathrm{T} & \mathrm{T} \
\mathrm{T} & \mathrm{F} & \mathrm{F} & \mathrm{T} \
\mathrm{F} & \mathrm{T} & \mathrm{T} & \mathrm{F} \
\mathrm{F} & \mathrm{T} & \mathrm{F} & \mathrm{T} \
\mathrm{F} & \mathrm{F} & \mathrm{T} & \mathrm{T} \
\mathrm{F} & \mathrm{F} & \mathrm{F} & \mathrm{F}
\end{array}$
B)
$\begin{array}{ccccc}
\mathrm{r} & \mathrm{c} & \mathrm{q} & \mathrm{r} \vee \sim(\mathrm{c} \wedge \mathrm{q}) \
\hline \mathrm{T} & \mathrm{T} & \mathrm{T} & \mathrm{T} \
\mathrm{T} & \mathrm{T} & \mathrm{F} & \mathrm{T} \
\mathrm{T} & \mathrm{F} & \mathrm{T} & \mathrm{T} \
\mathrm{T} & \mathrm{F} & \mathrm{F} & \mathrm{T} \
\mathrm{F} & \mathrm{T} & \mathrm{T} & \mathrm{F} \
\mathrm{F} & \mathrm{T} & \mathrm{F} & \mathrm{T} \
\mathrm{F} & \mathrm{F} & \mathrm{T} & \mathrm{T} \
\mathrm{F} & \mathrm{F} & \mathrm{F} & \mathrm{T}
\end{array}$

Question

Quizplus · Accepted Answer

The correct truth table for $r \vee \sim(c \wedge q)$ reflects that the statement is true unless $r$ is false and both $c$ and $q$ are true, which is accurately represented in option B.

Construct a Truth Table for the Statement r∨∼(c∧q)r \vee \sim(c \wedge q)r∨∼(c∧q)

Construct a Truth Table for the Statement $r \vee \sim(c \wedge q)$