Construct a truth table for the statement.
-$\sim ( \sim ( q \vee p ) )$
A)
$\begin{array}{ccc}
\mathrm{q} & \mathrm{p} & \sim(\sim(\mathrm{q} \vee \mathrm{p})) \
\hline \mathrm{T} & \mathrm{F} & \mathrm{T} \
\mathrm{F} & \mathrm{T} & \mathrm{F}
\end{array}$

B)
$\begin{array}{ccc}
\mathrm{q} & \mathrm{p} & \sim(\sim(\mathrm{q} \vee \mathrm{p})) \
\hline \mathrm{T} & \mathrm{T} & \mathrm{T} \
\mathrm{T} & \mathrm{F} & \mathrm{T} \
\mathrm{F} & \mathrm{T} & \mathrm{F} \
\mathrm{F} & \mathrm{F} & \mathrm{F}
\end{array}$

C)
$\begin{array}{ccc}
\mathrm{q} & \mathrm{p} & \sim(\sim(q \vee p)) \
\hline \mathrm{T} & \mathrm{T} & \mathrm{F} \
\mathrm{T} & \mathrm{F} & \mathrm{F} \
\mathrm{F} & \mathrm{T} & \mathrm{F} \
\mathrm{F} & \mathrm{F} & \mathrm{T}
\end{array}$
D)
$\begin{array}{ccc}
\mathrm{q} & \mathrm{p} & \sim(\sim(\mathrm{q} \vee \mathrm{p})) \
\hline \mathrm{T} & \mathrm{T} & \mathrm{T} \
\mathrm{T} & \mathrm{F} & \mathrm{T} \
\mathrm{F} & \mathrm{T} & \mathrm{T} \
\mathrm{F} & \mathrm{F} & \mathrm{F}
\end{array}$

Question

Construct a truth table for the statement.
-$\sim ( \sim ( q \vee p ) )$
A) 
$\begin{array}{ccc}
\mathrm{q} & \mathrm{p} & \sim(\sim(\mathrm{q} \vee \mathrm{p})) \
\hline \mathrm{T} & \mathrm{F} & \mathrm{T} \
\mathrm{F} & \mathrm{T} & \mathrm{F}
\end{array}$

B)
$\begin{array}{ccc}
\mathrm{q} & \mathrm{p} & \sim(\sim(\mathrm{q} \vee \mathrm{p})) \
\hline \mathrm{T} & \mathrm{T} & \mathrm{T} \
\mathrm{T} & \mathrm{F} & \mathrm{T} \
\mathrm{F} & \mathrm{T} & \mathrm{F} \
\mathrm{F} & \mathrm{F} & \mathrm{F}
\end{array}$

C)
$\begin{array}{ccc}
\mathrm{q} & \mathrm{p} & \sim(\sim(q \vee p)) \
\hline \mathrm{T} & \mathrm{T} & \mathrm{F} \
\mathrm{T} & \mathrm{F} & \mathrm{F} \
\mathrm{F} & \mathrm{T} & \mathrm{F} \
\mathrm{F} & \mathrm{F} & \mathrm{T}
\end{array}$
D) 
$\begin{array}{ccc}
\mathrm{q} & \mathrm{p} & \sim(\sim(\mathrm{q} \vee \mathrm{p})) \
\hline \mathrm{T} & \mathrm{T} & \mathrm{T} \
\mathrm{T} & \mathrm{F} & \mathrm{T} \
\mathrm{F} & \mathrm{T} & \mathrm{T} \
\mathrm{F} & \mathrm{F} & \mathrm{F}
\end{array}$

Quizplus · Accepted Answer

The statement $\sim ( \sim ( q \vee p ) )$ is logically equivalent to $q \vee p$, meaning it is true if either $q$ or $p$ is true, and only false if both are false. This is accurately represented in option D.

Construct a Truth Table for the Statement ∼(∼(q∨p))\sim ( \sim ( q \vee p ) )∼(∼(q∨p))

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