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

question 52

Multiple Choice

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

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

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