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Construct a Truth Table for the Statement ((qp))\sim ( \sim ( q \vee p ) )

Question 52

Multiple Choice

Construct a truth table for the statement.
- ((qp) ) \sim ( \sim ( q \vee p ) )


A)
qp((qp) ) TFTFTF\begin{array}{ccc}\mathrm{q} & \mathrm{p} & \sim(\sim(\mathrm{q} \vee \mathrm{p}) ) \\\hline \mathrm{T} & \mathrm{F} & \mathrm{T} \\\mathrm{F} & \mathrm{T} & \mathrm{F}\end{array}

B)
qp((qp) ) TTTTFTFTFFFF\begin{array}{ccc}\mathrm{q} & \mathrm{p} & \sim(\sim(\mathrm{q} \vee \mathrm{p}) ) \\\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)
qp((qp) ) TTFTFFFTFFFT\begin{array}{ccc}\mathrm{q} & \mathrm{p} & \sim(\sim(q \vee p) ) \\\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}
D)
qp((qp) ) TTTTFTFTTFFF\begin{array}{ccc}\mathrm{q} & \mathrm{p} & \sim(\sim(\mathrm{q} \vee \mathrm{p}) ) \\\hline \mathrm{T} & \mathrm{T} & \mathrm{T} \\\mathrm{T} & \mathrm{F} & \mathrm{T} \\\mathrm{F} & \mathrm{T} & \mathrm{T} \\\mathrm{F} & \mathrm{F} & \mathrm{F}\end{array}

Correct Answer:

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