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

Question 169

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)
qrsq and (not r)  and sTTTFTTFFTFTTTFFFFTTFFTFFFFTFFFFF\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)
qrsq and (not r)  and sTTTFTTFTTFTFTFFFFTTFFTFFFFTFFFFF\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)
qrsq and (not r)  and sTTTTTTFFTFTFTFFFFTTFFTFFFFTFFFFF\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)
qrsq and (not r )  and sTTTFTTFFTFTTTFFTFTTFFTFFFFTFFFFF\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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