Construct a Truth Table for the Statement $\mathbf{r} \rightarrow \sim \mathrm{p}$

question 195

Multiple Choice

Construct a truth table for the statement.
- $\mathbf{r} \rightarrow \sim \mathrm{p}$

• A)
• \(\begin{array} { c c r }
• \mathrm { r } & \mathrm { p } & \mathrm { r } _\rightarrow \sim \mathrm { p } \\
• \hline \mathrm { T } & \mathrm { T } & \mathrm { T } \\
• \mathrm { T } & \mathrm { F } & \mathrm { T } \\
• \mathrm { F } & \mathrm { T } & \mathrm { F } \\
• \mathrm { F } & \mathrm { F } & \mathrm { F }
• \end{array}\)
• B)
• \(\begin{array} { l l l }
• \mathrm { r } & \mathrm { p } & \mathrm { r } _\rightarrow \sim \mathrm { p } \\
• \hline \mathrm { T } & \mathrm { T } & \mathrm { T } \\
• \mathrm { T } & \mathrm { F } & \mathrm { F } \\
• \mathrm { F } & \mathrm { T } & \mathrm { T } \\
• \mathrm { F } & \mathrm { F } & \mathrm { T }
• \end{array}\)
• C)
• \(\begin{array} { l l l }
• \mathrm { r } & \mathrm { p } & \mathrm { r } _ { \rightarrow } \sim \mathrm { p } \\
• \hline \mathrm { T } & \mathrm { T } & \mathrm { F } \\
• \mathrm { T } & \mathrm { F } & \mathrm { F } \\
• \mathrm { F } & \mathrm { T } & \mathrm { T } \\
• \mathrm { F } & \mathrm { F } & \mathrm { T }
• \end{array}\)
• D)
• \(\begin{array}{llr}
• \mathrm{r} & \mathrm{P} & \mathrm{r}_\rightarrow \sim \mathrm{P} \\
• \hline \mathrm{T} & \mathrm{T} & \mathrm{F} \\
• \mathrm{T} & \mathrm{F} & \mathrm{T} \\
• \mathrm{F} & \mathrm{T} & \mathrm{T} \\
• \mathrm{F} & \mathrm{F} & \mathrm{T}
• \end{array}\)

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