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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Definitions:

South Region

Typically refers to the southern part of a country or area, often characterized by distinct cultural, economic, or climatic conditions.

Variable Costing

An accounting approach where only variable production costs are included in product costs, with fixed overhead expenses treated as period costs.

Operating Income

Income generated from normal business operations, excluding costs and expenses.

Manufacturing Margin

The difference between the cost of production and the selling price of manufactured goods.