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

question 69

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 good, then I eat too much.

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

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