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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Definitions:

Rules

Specific guidelines or regulations designed to dictate behavior or procedures within a particular context or organization.

Regulations

Rules or directives made and maintained by an authority to regulate behavior; they can apply to individuals, industries, and organizations.

Functional Structures

An organizational structure where the company is divided into departments based on specific functions or roles, such as marketing, finance, or human resources, enhancing specialization and efficiency.

Organic

Pertains to living systems or compounds containing carbon, or in business, refers to growth achieved through internal processes.