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

Question 162

Multiple Choice

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


A)
rsp and not sTTFTFTFTFFFF\begin{array}{l|l|l}\mathrm{r} & \mathrm{s} & \mathrm{p} \text { and not } \mathrm{s} \\\hline \mathrm{T} & \mathrm{T} & \mathrm{F} \\\mathrm{T} & \mathrm{F} & \mathrm{T} \\\mathrm{F} & \mathrm{T} & \mathrm{F} \\\mathrm{F} & \mathrm{F} & \mathrm{F}\end{array}

B)
rsr and not sTTTTFFFTFFFF\begin{array}{l|l|l}\mathrm{r} & \mathrm{s} & \mathrm{r} \text { and not } \mathrm{s} \\\hline \mathrm{T} & \mathrm{T} & \mathrm{T} \\\mathrm{T} & \mathrm{F} & \mathrm{F} \\\mathrm{F} & \mathrm{T} & \mathrm{F} \\\mathrm{F} & \mathrm{F} & \mathrm{F}\end{array}

C)
rsr and not sTTFTFTFTFFFF\begin{array}{l|l|l}\mathrm{r} & \mathrm{s} & \mathrm{r} \text { and not } \mathrm{s} \\\hline \mathrm{T} & \mathrm{T} & \mathrm{F} \\\mathrm{T} & \mathrm{F} & \mathrm{T} \\\mathrm{F} & \mathrm{T} & \mathrm{F} \\\mathrm{F} & \mathrm{F} & \mathrm{F}\end{array}

D)
rsr and not s TTTTFTFTFFFT\begin{array}{l|l|l}\mathrm{r} & \mathrm{s} & \mathrm{r} \text { and not s } \\\hline \mathrm{T} & \mathrm{T} & \mathrm{T} \\\mathrm{T} & \mathrm{F} & \mathrm{T} \\\mathrm{F} & \mathrm{T} & \mathrm{F} \\\mathrm{F} & \mathrm{F} & \mathrm{T}\end{array}

Correct Answer:

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