Solved

Construct a Truth Table for the Statement ∼(s∨t)∧∼(t∧s)\sim(\mathrm{s} \vee \mathrm{t}) \wedge \sim(\mathrm{t} \wedge \mathrm{s})

Question 90

Multiple Choice

Construct a truth table for the statement.
- ∼(s∨t) ∧∼(t∧s) \sim(\mathrm{s} \vee \mathrm{t}) \wedge \sim(\mathrm{t} \wedge \mathrm{s})


A)
st∼(s∨t) ∧∼(t∧s) TTFTFFFTFFFT\begin{array}{ccc}\mathrm{s} & \mathrm{t} & \sim(\mathrm{s} \vee \mathrm{t}) \wedge \sim(\mathrm{t} \wedge \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}

B)
st∼(s∨t) ∧∼(t∧s) TTFTFFFTFFFF\begin{array}{ccc}\mathrm{s} & \mathrm{t} & \sim(\mathrm{s} \vee \mathrm{t}) \wedge \sim(\mathrm{t} \wedge \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}

C)
Construct a truth table for the statement. - \sim(\mathrm{s} \vee \mathrm{t}) \wedge \sim(\mathrm{t} \wedge \mathrm{s}) A) \begin{array}{ccc} \mathrm{s} & \mathrm{t} & \sim(\mathrm{s} \vee \mathrm{t}) \wedge \sim(\mathrm{t} \wedge \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} B) \begin{array}{ccc} \mathrm{s} & \mathrm{t} & \sim(\mathrm{s} \vee \mathrm{t}) \wedge \sim(\mathrm{t} \wedge \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} C) D) \begin{array}{lll} \mathrm{s} & \mathrm{t} & \sim(\mathrm{s} \vee \mathrm{t}) \wedge \sim(\mathrm{t} \wedge \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{F} \end{array}

D)
st∼(s∨t) ∧∼(t∧s) TTFTFTFTTFFF\begin{array}{lll}\mathrm{s} & \mathrm{t} & \sim(\mathrm{s} \vee \mathrm{t}) \wedge \sim(\mathrm{t} \wedge \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{F}\end{array}


Correct Answer:

verifed

Verified

Unlock this answer now
Get Access to more Verified Answers free of charge

Related Questions

Q85: Determine whether the statements are logically

Q86: Construct a truth table for the

Q87: Write a statement that represents the

Q88: Use a quantifier to make the

Q89: Determine whether the following is a statement.

Q91: Restate in a logically equivalent form.<br>-It is

Q92: Write the statement indicated.<br>-State the inverse of

Q93: Write a statement that represents the

Q94: Write a statement that represents the

Q95: Is it possible or not possible to