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:

Caring Leaders

Leaders characterized by a genuine concern for the welfare, growth, and well-being of their followers and stakeholders.

Instrumental Values

Values that relate to the means of achieving desired ends; they are considered supportive in reaching goals.

Responsibility

The state or fact of having a duty to deal with something or of having control over someone, often involving accountability and ethical obligations.

Allegory of the Cave

The Allegory of the Cave is a theory put forward by Plato, concerning human perception and knowledge, suggesting that people are trapped in a world of illusions and need intellectual enlightenment to perceive reality.