Write the Compound Statement in Symbols $p \rightarrow q$ B) $\mathrm{p} \rightarrow \mathrm{q}$

question 177

Multiple Choice

Write the compound statement in symbols. Then construct a truth table for the symbolic statement.
Let r = ʺThe food is good,ʺ p = ʺI eat too much,ʺ q = ʺIʹll exercise.ʺ
-If I eat too much, then I?ll exercise.

• A) \(p \rightarrow q\)
• \(\begin{array} { c c c }
• \mathrm { p } & \mathrm { q } & \mathrm { p } \rightarrow \mathrm { q } \\
• \hline \mathrm { T } & \mathrm { T } & \mathrm { T } \\
• \mathrm { T } & \mathrm { F } & \mathrm { F } \\
• \mathrm { F } & \mathrm { T } & \mathrm { T } \\
• \mathrm { F } & \mathrm { F } & \mathrm { T }
• \end{array}\)
• B)\(\mathrm{p} \rightarrow \mathrm{q}\)
• \(\begin{array} { c c c }
• \mathrm { p } & \mathrm { q } & \mathrm { p } \rightarrow \mathrm { q } \\
• \hline \mathrm { T } & \mathrm { T } & \mathrm { T } \\
• \mathrm { T } & \mathrm { F } & \mathrm { F } \\
• \mathrm { F } & \mathrm { T } & \mathrm { F } \\
• \mathrm { F } & \mathrm { F } & \mathrm { T }
• \end{array}\)
• C) \(q \rightarrow p\)
• \(\begin{array} { c c c }
• \mathrm { p } & \mathrm { q } & \mathrm { q } \rightarrow \mathrm { p } \\
• \hline \mathrm { T } & \mathrm { T } & \mathrm { F } \\
• \mathrm { T } & \mathrm { F } & \mathrm { T } \\
• \mathrm { F } & \mathrm { T } & \mathrm { F } \\
• \mathrm { F } & \mathrm { F } & \mathrm { F }
• \end{array}\)
• D) \(q \rightarrow p\)
• \(\begin{array}{ccc}
• \mathrm{p} & \mathrm{q} & \mathrm{q} \rightarrow \mathrm{p} \\
• \hline \mathrm{T} & \mathrm{T} & \mathrm{T} \\
• \mathrm{T} & \mathrm{F} & \mathrm{T} \\
• \mathrm{F} & \mathrm{T} & \mathrm{F} \\
• \mathrm{F} & \mathrm{F} & \mathrm{T}
• \end{array}\)

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Definitions:

American Put Option

An option contract giving the holder the right to sell an asset at a specified price at any time before the expiration date.

Expiration Date

The specific date on which an options or futures contract becomes void and the holder must settle their position by either selling or exercising the contract.

Indefinite Future

A period without a specified end time, often used in planning or forecasting where the exact timeline is unknown.

Call Option Values

The price of a call option, which grants the holder the right (but not the obligation) to buy an underlying asset at a specified price before a specified date.