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Construct a Truth Table for the Statement p qp \rightarrow \sim\ q

Question 214

Multiple Choice

Construct a truth table for the statement.
- p qp \rightarrow \sim\ q


A)
pqpqTTTTFFFTTFFT\begin{array}{ccc}\mathrm{p} & \mathrm{q} & \mathrm{p} \rightarrow \mathrm{q} \\\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}

B)
pqpqTTTTFTFTFFFF\begin{array}{ccc}\mathrm{p} & \mathrm{q} & \mathrm{p} \rightarrow \sim \mathrm{q} \\\hline \mathrm{T} & \mathrm{T} & \mathrm{T} \\\mathrm{T} & \mathrm{F} & \mathrm{T} \\\mathrm{F} & \mathrm{T} & \mathrm{F} \\\mathrm{F} & \mathrm{F} & \mathrm{F}\end{array}

C)
pqpqTTFTFTFTTFFT\begin{array}{ccc}\mathrm{p} & \mathrm{q} & \mathrm{p} \rightarrow \sim \mathrm{q} \\\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)
pqpqTTFTFFFTTFFT\begin{array}{ccc}\mathrm{p} & \mathrm{q} & \mathrm{p} \rightarrow \sim \mathrm{q} \\\hline \mathrm{T} & \mathrm{T} & \mathrm{F} \\\mathrm{T} & \mathrm{F} & \mathrm{F} \\\mathrm{F} & \mathrm{T} & \mathrm{T} \\\mathrm{F} & \mathrm{F} & \mathrm{T}\end{array}

Correct Answer:

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