Construct a Truth Table for the Statement $( \sim \mathrm { p } \vee \sim \mathrm { q } ) \rightarrow \sim ( \mathrm { q } \wedge \mathrm { p } )$

question 28

Multiple Choice

Construct a truth table for the statement.
- $( \sim \mathrm { p } \vee \sim \mathrm { q } ) \rightarrow \sim ( \mathrm { q } \wedge \mathrm { p } )$

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

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Definitions:

Insight Therapies

A range of psychotherapy approaches that emphasize the improvement of mental functioning through increased insight and understanding of oneself and relationships.

Clients' Awareness

The degree to which clients are conscious of their own psychological states, behaviors, and the therapeutic process.

Motives

Internal drives or reasons that prompt individuals towards certain actions or behaviors, influenced by personal desires, needs, or goals.

Client-Centered Therapy

A psychotherapeutic approach developed by Carl Rogers that emphasizes providing a supportive emotional environment for self-discovery and growth.