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

---

Definitions:

Industrial Unions

Labor unions that represent all workers, regardless of job or skill level, within an entire industry.

Local Unions

Regional branches of labor unions that represent workers' interests in specific geographic areas.

International Unions

Organizations that represent workers' interests across multiple countries.

National Unions

Labor organizations that represent workers from across the country in a specific trade or profession.