Construct a Truth Table for the Statement $(p \wedge t) \vee(\sim p \wedge \sim t)$

question 176

Multiple Choice

Construct a truth table for the statement.
- $(p \wedge t) \vee(\sim p \wedge \sim t)$

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

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Definitions:

Antecedent

An event, condition, or phenomenon that occurs before and potentially causes or influences an outcome.

Consequences

The outcomes or effects that naturally follow from particular actions or behaviors.

Direct Interviewing

A method of collecting information through face-to-face conversation, where questions are asked in a straightforward manner.

Nonverbal Exchanges

Communication between individuals that does not involve words but rather body language, facial expressions, and other visual cues.