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

question 1

Multiple Choice

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

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

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