Solved

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

Question 158

Multiple Choice

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


A)
qr if q, then not rTTTTFFFTFFFF\begin{array}{l|l|l}\mathrm{q} & \mathrm{r} & \text { if q, then not } \mathrm{r} \\\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}
B)
qr if q, then not rTTFTFTFTFFFF\begin{array}{l|l|l}\mathrm{q} & \mathrm{r} & \text { if } \mathrm{q}, \text { then not } \mathrm{r} \\\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}
C)
qr if q, then not rTTFTFTFTTFFT\begin{array}{l|l|l}\mathrm{q} & \mathrm{r} & \text { if q, then not } \mathrm{r} \\\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}
D)
qr if q, then not rTTTTFFFTTFFT\begin{array}{l|l|l}\mathrm{q} & \mathrm{r} & \text { if q, then not } \mathrm{r} \\\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}


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