Make a Truth Table for the Given Statement B) C)

question 155

Multiple Choice

Make a truth table for the given statement. The letters p, q, r, s represent propositions.
-q and (not r) and s

• A)
• \(\begin{array}{l|l|l|l}
• \mathrm{q} & \mathrm{r} & \mathrm{s} & \mathrm{q} \text { and (not } \mathrm{r}) \text { and } \mathrm{s} \\
• \hline \mathrm{T} & \mathrm{T} & \mathrm{T} & \mathrm{F} \\
• \mathrm{T} & \mathrm{T} & \mathrm{F} & \mathrm{F} \\
• \mathrm{T} & \mathrm{F} & \mathrm{T} & \mathrm{T} \\
• \mathrm{T} & \mathrm{F} & \mathrm{F} & \mathrm{F} \\
• \mathrm{F} & \mathrm{T} & \mathrm{T} & \mathrm{F} \\
• \mathrm{F} & \mathrm{T} & \mathrm{F} & \mathrm{F} \\
• \mathrm{F} & \mathrm{F} & \mathrm{T} & \mathrm{F} \\
• \mathrm{F} & \mathrm{F} & \mathrm{F} & \mathrm{F}
• \end{array}\)
• B)
• \(\begin{array}{l|l|l|l}
• \mathrm{q} & \mathrm{r} & \mathrm{s} & \mathrm{q} \text { and (not } \mathrm{r}) \text { and } \mathrm{s} \\
• \hline \mathrm{T} & \mathrm{T} & \mathrm{T} & \mathrm{F} \\
• \mathrm{T} & \mathrm{T} & \mathrm{F} & \mathrm{T} \\
• \mathrm{T} & \mathrm{F} & \mathrm{T} & \mathrm{F} \\
• \mathrm{T} & \mathrm{F} & \mathrm{F} & \mathrm{F} \\
• \mathrm{F} & \mathrm{T} & \mathrm{T} & \mathrm{F} \\
• \mathrm{F} & \mathrm{T} & \mathrm{F} & \mathrm{F} \\
• \mathrm{F} & \mathrm{F} & \mathrm{T} & \mathrm{F} \\
• \mathrm{F} & \mathrm{F} & \mathrm{F} & \mathrm{F}
• \end{array}\)
• C)
• \(\begin{array}{l|l|l|l}
• \mathrm{q} & \mathrm{r} & \mathrm{s} & \mathrm{q} \text { and (not } \mathrm{r}) \text { and } s \\
• \hline \mathrm{T} & \mathrm{T} & \mathrm{T} & \mathrm{T} \\
• \mathrm{T} & \mathrm{T} & \mathrm{F} & \mathrm{F} \\
• \mathrm{T} & \mathrm{F} & \mathrm{T} & \mathrm{F} \\
• \mathrm{T} & \mathrm{F} & \mathrm{F} & \mathrm{F} \\
• \mathrm{F} & \mathrm{T} & \mathrm{T} & \mathrm{F} \\
• \mathrm{F} & \mathrm{T} & \mathrm{F} & \mathrm{F} \\
• \mathrm{F} & \mathrm{F} & \mathrm{T} & \mathrm{F} \\
• \mathrm{F} & \mathrm{F} & \mathrm{F} & \mathrm{F}
• \end{array}\)
• D)
• \(\begin{array}{l|l|l|l}
• \mathrm{q} & \mathrm{r} & \mathrm{s} & \mathrm{q} \text { and (not } \mathrm{r} \text { ) and } \mathrm{s} \\
• \hline \mathrm{T} & \mathrm{T} & \mathrm{T} & \mathrm{F} \\
• \mathrm{T} & \mathrm{T} & \mathrm{F} & \mathrm{F} \\
• \mathrm{T} & \mathrm{F} & \mathrm{T} & \mathrm{T} \\
• \mathrm{T} & \mathrm{F} & \mathrm{F} & \mathrm{T} \\
• \mathrm{F} & \mathrm{T} & \mathrm{T} & \mathrm{F} \\
• \mathrm{F} & \mathrm{T} & \mathrm{F} & \mathrm{F} \\
• \mathrm{F} & \mathrm{F} & \mathrm{T} & \mathrm{F} \\
• \mathrm{F} & \mathrm{F} & \mathrm{F} & \mathrm{F}
• \end{array}\)

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