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Construct a Truth Table for the Statement (pq)t(p \wedge \sim q) \wedge t

Question 3

Multiple Choice

Construct a truth table for the statement.
- (pq) t(p \wedge \sim q) \wedge t


A)
pqt(pq) tTTTFTTFFTFTTTFFFFTTFFTFFFFTFFFFF\begin{array}{cccc}\mathrm{p} & \mathrm{q} & \mathrm{t} & (\mathrm{p} \wedge \sim \mathrm{q}) \wedge \mathrm{t} \\\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)
pqt(pq) tTTTFTTFFTFTFTFFFFTTFFTFTFFTTFFFT\begin{array}{cccc}\mathrm{p} & \mathrm{q} & \mathrm{t} & (\mathrm{p} \wedge \sim \mathrm{q}) \wedge \mathrm{t} \\\hline \mathrm{T} & \mathrm{T} & \mathrm{T} & \mathrm{F} \\\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{T} \\\mathrm{F} & \mathrm{F} & \mathrm{T} & \mathrm{T} \\\mathrm{F} & \mathrm{F} & \mathrm{F} & \mathrm{T}\end{array}

Correct Answer:

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