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Construct a Truth Table for the Statement ∼p∧∼s\sim p \wedge \sim s

Question 81

Multiple Choice

Construct a truth table for the statement.
- ∼p∧∼s\sim p \wedge \sim s


A)
ps(∼p∧∼s) TTFTFFFTFFFF\begin{array}{ccc}\mathrm{p} & \mathrm{s}(\sim \mathrm{p} \wedge \sim \mathrm{s}) \\\hline \mathrm{T} & \mathrm{T} & \mathrm{F} \\\mathrm{T} & \mathrm{F} & \mathrm{F} \\\mathrm{F} & \mathrm{T} & \mathrm{F} \\\mathrm{F} & \mathrm{F} & \mathrm{F}\end{array}
B)
Ps(∼P∧∼s) TTFTFTFTTFFT\begin{array}{ccc}\mathrm{P} & \mathrm{s}(\sim \mathrm{P} \wedge \sim \mathrm{s}) \\\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}
C)
ps(∼p∧∼s) TTTTFFFTFFFT\begin{array}{ccc}\mathrm{p} & \mathrm{s} & (\sim \mathrm{p} \wedge \sim \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{T}\end{array}
D)
ps(∼p∧∼s) TTFTFFFTFFFT\begin{array}{ccc}\mathrm{p} & \mathrm{s} & (\sim \mathrm{p} \wedge \sim \mathrm{s}) \\\hline \mathrm{T} & \mathrm{T} & \mathrm{F} \\\mathrm{T} & \mathrm{F} & \mathrm{F} \\\mathrm{F} & \mathrm{T} & \mathrm{F} \\\mathrm{F} & \mathrm{F} & \mathrm{T}\end{array}




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