Translate the Statement into Symbols Then Construct a Truth Table $\mathrm{p}=$

question 149

Multiple Choice

Translate the statement into symbols then construct a truth table.
- $\mathrm{p}=$ The doctor prescribed medicine.
$\mathrm{q}=$ The patient has recovered.
The doctor did not prescribe medicine but the patient recovered.

• A)
• \(\begin{array} { c c c }
• \mathrm { p } & \mathrm { q } & \sim \mathrm { p } \vee \mathrm { q } \\
• \hline \mathrm { T } & \mathrm { T } & \mathrm { T } \\
• \mathrm { T } & \mathrm { F } & \mathrm { F } \\
• \mathrm { F } & \mathrm { T } & \mathrm { T } \\
• \mathrm { F } & \mathrm { F } & \mathrm { T }
• \end{array}\)
• B)
• \(\begin{array} { c c r }
• \mathrm { p } & \mathrm { q } & \sim \mathrm { p } \wedge \mathrm { q } \\
• \hline \mathrm { T } & \mathrm { T } & \mathrm { F } \\
• \mathrm { T } & \mathrm { F } & \mathrm { F } \\
• \mathrm { F } & \mathrm { T } & \mathrm { T } \\
• \mathrm { F } & \mathrm { F } & \mathrm { F }
• \end{array}\)
• C)
• \(\begin{array} { c c c }
• \mathrm { p } & \mathrm { q } & \sim \mathrm { p } \wedge \mathrm { q } \\
• \hline \mathrm { T } & \mathrm { T } & \mathrm { T } \\
• \mathrm { T } & \mathrm { F } & \mathrm { F } \\
• \mathrm { F } & \mathrm { T } & \mathrm { F } \\
• \mathrm { F } & \mathrm { F } & \mathrm { F }
• \end{array}\)
• D)
• \(\begin{array} { c c c }
• \mathrm { p } & \mathrm { q } & \sim \mathrm { p } \vee \mathrm { q } \\
• \hline \mathrm { T } & \mathrm { T } & \mathrm { T } \\
• \mathrm { T } & \mathrm { F } & \mathrm { F } \\
• \mathrm { F } & \mathrm { T } & \mathrm { F } \\
• \mathrm { F } & \mathrm { F } & \mathrm { F }
• \end{array}\)

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Definitions:

Avoidance

Involves pretending a conflict does not really exist.

Pretending

is the act of simulating or giving the appearance of a particular state, condition, or attribute, often to deceive or for playful purposes.

Common Goals

Shared objectives or aims among a group of individuals or within an organization that guide collective efforts and actions.

Mutually Desirable

A situation or agreement that is welcomed and beneficial to all parties involved.