Write the Compound Statement in Symbols $q \rightarrow(\sim r \wedge \sim p)$

question 138

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 I exercise, then the food won?t be good and I won?t eat too much.

• A)\(q \rightarrow(\sim r \wedge \sim p)\)
• \(\begin{array} { l c c c }
• \mathrm { r } & \mathrm { p } & \mathrm { q } & \mathrm { q } \rightarrow ( \sim \mathrm { r } \wedge \sim \mathrm { p } ) \\
• \hline \mathrm { T } & \mathrm { T } & \mathrm { T } & \mathrm { F } \\
• \mathrm { T } & \mathrm { T } & \mathrm { F } & \mathrm { T } \\
• \mathrm { T } & \mathrm { F } & \mathrm { T } & \mathrm { F } \\
• \mathrm { T } & \mathrm { F } & \mathrm { F } & \mathrm { T } \\
• \mathrm { F } & \mathrm { T } & \mathrm { T } & \mathrm { F } \\
• \mathrm { F } & \mathrm { T } & \mathrm { F } & \mathrm { T } \\
• \mathrm { F } & \mathrm { F } & \mathrm { T } & \mathrm { T } \\
• \mathrm { F } & \mathrm { F } & \mathrm { F } & \mathrm { T }
• \end{array}\)
• B)\(\mathrm{q} \rightarrow(\sim \mathrm{r} \wedge \sim \mathrm{p})\)
• \(\begin{array} { c c c c }
• \mathrm { r } & \mathrm { p } & \mathrm { q } & \mathrm { q } \rightarrow ( \sim \mathrm { r } \wedge \sim \mathrm { p } ) \\
• \hline \mathrm { T } & \mathrm { T } & \mathrm { T } & \mathrm { F } \\
• \mathrm { T } & \mathrm { T } & \mathrm { F } & \mathrm { T } \\
• \mathrm { T } & \mathrm { F } & \mathrm { T } & \mathrm { T } \\
• \mathrm { T } & \mathrm { F } & \mathrm { F } & \mathrm { T } \\
• \mathrm { F } & \mathrm { T } & \mathrm { T } & \mathrm { F } \\
• \mathrm { F } & \mathrm { T } & \mathrm { F } & \mathrm { T } \\
• \mathrm { F } & \mathrm { F } & \mathrm { T } & \mathrm { F } \\
• \mathrm { F } & \mathrm { F } & \mathrm { F } & \mathrm { T }
• \end{array}\)
• C)\(q \rightarrow \sim(r \wedge p)\)
• \(\begin{array} { c c c c }
• \mathrm { r } & \mathrm { p } & \mathrm { q } & \mathrm { q } \rightarrow \sim ( \mathrm { r } \wedge \mathrm { p } ) \\
• \hline \mathrm { T } & \mathrm { T } & \mathrm { T } & \mathrm { F } \\
• \mathrm { T } & \mathrm { T } & \mathrm { F } & \mathrm { T } \\
• \mathrm { T } & \mathrm { F } & \mathrm { T } & \mathrm { F } \\
• \mathrm { T } & \mathrm { F } & \mathrm { F } & \mathrm { T } \\
• \mathrm { F } & \mathrm { T } & \mathrm { T } & \mathrm { T } \\
• \mathrm { F } & \mathrm { T } & \mathrm { F } & \mathrm { F } \\
• \mathrm { F } & \mathrm { F } & \mathrm { T } & \mathrm { T } \\
• \mathrm { F } & \mathrm { F } & \mathrm { F } & \mathrm { T }
• \end{array}\)
• D)\(q \rightarrow \sim(r \wedge p)\)
• \(\begin{array} { l c c c }
• \mathrm { r } & \mathrm { p } & \mathrm { q } & \mathrm { q } \rightarrow \sim ( \mathrm { r } \wedge \mathrm { p } ) \\
• \hline \mathrm { T } & \mathrm { T } & \mathrm { T } & \mathrm { F } \\
• \mathrm { T } & \mathrm { T } & \mathrm { F } & \mathrm { T } \\
• \mathrm { T } & \mathrm { F } & \mathrm { T } & \mathrm { T } \\
• \mathrm { T } & \mathrm { F } & \mathrm { F } & \mathrm { T } \\
• \mathrm { F } & \mathrm { T } & \mathrm { T } & \mathrm { T } \\
• \mathrm { F } & \mathrm { T } & \mathrm { F } & \mathrm { T } \\
• \mathrm { F } & \mathrm { F } & \mathrm { T } & \mathrm { T } \\
• \mathrm { F } & \mathrm { F } & \mathrm { F } & \mathrm { T }
• \end{array}\)

Recognize the ethical considerations in using positive emphasis and de-emphasization techniques.

Understand the impact of tone and word choice on reader perception and communication effectiveness.

Apply strategies for crafting messages with positive emphasis to enhance reader engagement and response.

Recognize the importance of tone and politeness levels in professional communication.

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Definitions:

Entity Theorists

Individuals who believe traits and abilities are fixed and unchangeable.

Incremental Theorists

People who believe that abilities and intelligence can grow and change through effort and experience.

Feedback

Information given to someone about their performance or behavior intended to guide future improvements.

Preference

An individual's choice or inclination towards a certain object, idea, or action over another.