Construct a truth table for the statement.
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( \sim \mathrm { p } \vee \sim \mathrm { q } ) \rightarrow \sim ( \mathrm { q } \wedge \mathrm { p } )

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

\begin{array}{ccc}\mathrm{p} & \mathrm{q} & (\sim \mathrm{p} \vee \sim \mathrm{q}) \rightarrow \sim(\mathrm{q} \wedge \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}

\begin{array}{ccc}\mathrm{p} & \mathrm{q} & (\sim \mathrm{p} \vee \sim \mathrm{q}) \rightarrow \sim(\mathrm{q} \wedge \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}

Write the Converse, Inverse, or Contrapositive of the Statement as Requested

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