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

question 13

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
-I?ll exercise if I don?t eat too much.

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

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Definitions:

Leader Empowerment

The process of increasing the capacity of individuals to make choices and to transform those choices into desired actions and outcomes.

Organizational Performance

A measure of how effectively and efficiently an organization achieves its goals and objectives.

Leader-follower Communication

The exchange of information and ideas between those in leadership positions and their followers, crucial for effective leadership and team cohesion.

Servant Leader Factors

The characteristics or qualities that define a servant leader, including listening, empathy, stewardship, and the commitment to the growth of people.