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:

Conditions Of Uncertainty

Situations in which individuals do not have sufficient information about the outcomes of different actions, making decision-making difficult.

Choices

The act of selecting between two or more possibilities.

Changing Representation

The process of how mental models or ways of understanding the world evolve over time or in response to new information.

Problem-Solving Approach

A methodological strategy used to identify, analyze, and solve problems through a step-by-step process.