Write the Compound Statement in Symbols $\sim(p \rightarrow q)$ B) $\sim p \rightarrow q$

question 13

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
-I?ll exercise if I don?t eat too much.

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

---

Definitions:

Estrogen

A group of steroid hormones that play a crucial role in the development and regulation of the female reproductive system and secondary sexual characteristics.

Anterior Hypothalamus

A region at the front of the hypothalamus involved in regulating temperature, reproductive behaviors, and sleep.

Neurons

Specialized cells within the nervous system that transmit information to other neurons, muscle cells, or gland cells.

Sexual Orientation

A person's pattern of emotional, romantic, or sexual attraction to others, which can include heterosexuality, homosexuality, bisexuality, and more.