Write the Compound Statement in Symbols $\sim(r \rightarrow p)$ B) $\sim(r \rightarrow p)$

question 185

Multiple Choice

Write the compound statement in symbols. Then construct a truth table for the symbolic statement.
Let r = ʺThe food is good,ʺ p = ʺI eat too much,ʺ q = ʺIʹll exercise.ʺ
-If the food is not good, I won?t eat too much.

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

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