Construct a Truth Table for the Statement $\sim(\mathrm{s} \vee \mathrm{t}) \wedge \sim(\mathrm{t} \wedge \mathrm{s})$

question 199

Multiple Choice

Construct a truth table for the statement.
- $\sim(\mathrm{s} \vee \mathrm{t}) \wedge \sim(\mathrm{t} \wedge \mathrm{s})$

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

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